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Finding the Fourth Proportional to 94,085.74, 141,041.13 and 31,712.50

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Solution

The fourth proportional to 94,085.74, 141,041.13 and 31,712.50 is: 47,539.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,085.74 : 141,041.13 = 31,712.50 : x
  2. Step 2: Convert to fraction form
    94,085.74/141,041.13 = 31,712.50/x
  3. Step 3: Cross multiply
    94,085.74x = 141,041.13 × 31,712.50
  4. Step 4: Simplify right side
    94,085.74x = 4,472,766,835.13
  5. Step 5: Solve for x
    x = 4,472,766,835.13/94,085.74
  6. Step 6: Final answer
    x = 47,539.26

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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.