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Finding the Fourth Proportional to 76,933.60, 115,411.20 and 24,337.60

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Solution

The fourth proportional to 76,933.60, 115,411.20 and 24,337.60 is: 36,509.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,933.60 : 115,411.20 = 24,337.60 : x
  2. Step 2: Convert to fraction form
    76,933.60/115,411.20 = 24,337.60/x
  3. Step 3: Cross multiply
    76,933.60x = 115,411.20 × 24,337.60
  4. Step 4: Simplify right side
    76,933.60x = 2,808,831,621.12
  5. Step 5: Solve for x
    x = 2,808,831,621.12/76,933.60
  6. Step 6: Final answer
    x = 36,509.82

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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.