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Finding the Fourth Proportional to 76,545.60, 114,851.88 and 29,782.32

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Solution

The fourth proportional to 76,545.60, 114,851.88 and 29,782.32 is: 44,686.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,545.60 : 114,851.88 = 29,782.32 : x
  2. Step 2: Convert to fraction form
    76,545.60/114,851.88 = 29,782.32/x
  3. Step 3: Cross multiply
    76,545.60x = 114,851.88 × 29,782.32
  4. Step 4: Simplify right side
    76,545.60x = 3,420,555,442.76
  5. Step 5: Solve for x
    x = 3,420,555,442.76/76,545.60
  6. Step 6: Final answer
    x = 44,686.51

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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.