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Finding the Fourth Proportional to 77,737.50, 116,606.52 and 21,582

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Solution

The fourth proportional to 77,737.50, 116,606.52 and 21,582 is: 32,373.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,737.50 : 116,606.52 = 21,582 : x
  2. Step 2: Convert to fraction form
    77,737.50/116,606.52 = 21,582/x
  3. Step 3: Cross multiply
    77,737.50x = 116,606.52 × 21,582
  4. Step 4: Simplify right side
    77,737.50x = 2,516,601,914.64
  5. Step 5: Solve for x
    x = 2,516,601,914.64/77,737.50
  6. Step 6: Final answer
    x = 32,373.07

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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.