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Finding the Fourth Proportional to 44,706.52, 61,688.14 and 25,840

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Solution

The fourth proportional to 44,706.52, 61,688.14 and 25,840 is: 35,655.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,706.52 : 61,688.14 = 25,840 : x
  2. Step 2: Convert to fraction form
    44,706.52/61,688.14 = 25,840/x
  3. Step 3: Cross multiply
    44,706.52x = 61,688.14 × 25,840
  4. Step 4: Simplify right side
    44,706.52x = 1,594,021,537.60
  5. Step 5: Solve for x
    x = 1,594,021,537.60/44,706.52
  6. Step 6: Final answer
    x = 35,655.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.