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Finding the Fourth Proportional to 31,297.46, 46,946.18 and 7,925.72

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Solution

The fourth proportional to 31,297.46, 46,946.18 and 7,925.72 is: 11,888.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,297.46 : 46,946.18 = 7,925.72 : x
  2. Step 2: Convert to fraction form
    31,297.46/46,946.18 = 7,925.72/x
  3. Step 3: Cross multiply
    31,297.46x = 46,946.18 × 7,925.72
  4. Step 4: Simplify right side
    31,297.46x = 372,082,062.83
  5. Step 5: Solve for x
    x = 372,082,062.83/31,297.46
  6. Step 6: Final answer
    x = 11,888.57

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.