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Finding the Fourth Proportional to 31,052.61, 46,564.56 and 9,988.74

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Solution

The fourth proportional to 31,052.61, 46,564.56 and 9,988.74 is: 14,978.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,052.61 : 46,564.56 = 9,988.74 : x
  2. Step 2: Convert to fraction form
    31,052.61/46,564.56 = 9,988.74/x
  3. Step 3: Cross multiply
    31,052.61x = 46,564.56 × 9,988.74
  4. Step 4: Simplify right side
    31,052.61x = 465,121,283.05
  5. Step 5: Solve for x
    x = 465,121,283.05/31,052.61
  6. Step 6: Final answer
    x = 14,978.49

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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.