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Finding the Fourth Proportional to 31,046.88, 46,570.32 and 7,673.76

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Solution

The fourth proportional to 31,046.88, 46,570.32 and 7,673.76 is: 11,510.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,046.88 : 46,570.32 = 7,673.76 : x
  2. Step 2: Convert to fraction form
    31,046.88/46,570.32 = 7,673.76/x
  3. Step 3: Cross multiply
    31,046.88x = 46,570.32 × 7,673.76
  4. Step 4: Simplify right side
    31,046.88x = 357,369,458.80
  5. Step 5: Solve for x
    x = 357,369,458.80/31,046.88
  6. Step 6: Final answer
    x = 11,510.64

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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.