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Finding the Fourth Proportional to 31,117, 46,661.40 and 8,925.28

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Solution

The fourth proportional to 31,117, 46,661.40 and 8,925.28 is: 13,383.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,117 : 46,661.40 = 8,925.28 : x
  2. Step 2: Convert to fraction form
    31,117/46,661.40 = 8,925.28/x
  3. Step 3: Cross multiply
    31,117x = 46,661.40 × 8,925.28
  4. Step 4: Simplify right side
    31,117x = 416,466,060.19
  5. Step 5: Solve for x
    x = 416,466,060.19/31,117
  6. Step 6: Final answer
    x = 13,383.88

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