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Finding the Fourth Proportional to 44,708.52, 61,690.50 and 25,842

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Solution

The fourth proportional to 44,708.52, 61,690.50 and 25,842 is: 35,657.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,708.52 : 61,690.50 = 25,842 : x
  2. Step 2: Convert to fraction form
    44,708.52/61,690.50 = 25,842/x
  3. Step 3: Cross multiply
    44,708.52x = 61,690.50 × 25,842
  4. Step 4: Simplify right side
    44,708.52x = 1,594,205,901
  5. Step 5: Solve for x
    x = 1,594,205,901/44,708.52
  6. Step 6: Final answer
    x = 35,657.77

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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.