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Finding the Fourth Proportional to 56,302.60, 77,689.94 and 32,106.68

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Solution

The fourth proportional to 56,302.60, 77,689.94 and 32,106.68 is: 44,302.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,302.60 : 77,689.94 = 32,106.68 : x
  2. Step 2: Convert to fraction form
    56,302.60/77,689.94 = 32,106.68/x
  3. Step 3: Cross multiply
    56,302.60x = 77,689.94 × 32,106.68
  4. Step 4: Simplify right side
    56,302.60x = 2,494,366,042.80
  5. Step 5: Solve for x
    x = 2,494,366,042.80/56,302.60
  6. Step 6: Final answer
    x = 44,302.86

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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.