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Finding the Fourth Proportional to 93,788.83, 129,416.49 and 53,500.20

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Solution

The fourth proportional to 93,788.83, 129,416.49 and 53,500.20 is: 73,823.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,788.83 : 129,416.49 = 53,500.20 : x
  2. Step 2: Convert to fraction form
    93,788.83/129,416.49 = 53,500.20/x
  3. Step 3: Cross multiply
    93,788.83x = 129,416.49 × 53,500.20
  4. Step 4: Simplify right side
    93,788.83x = 6,923,808,098.30
  5. Step 5: Solve for x
    x = 6,923,808,098.30/93,788.83
  6. Step 6: Final answer
    x = 73,823.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.