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Finding the Fourth Proportional to 78,384.99, 108,172.08 and 42,575.70

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Solution

The fourth proportional to 78,384.99, 108,172.08 and 42,575.70 is: 58,754.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,384.99 : 108,172.08 = 42,575.70 : x
  2. Step 2: Convert to fraction form
    78,384.99/108,172.08 = 42,575.70/x
  3. Step 3: Cross multiply
    78,384.99x = 108,172.08 × 42,575.70
  4. Step 4: Simplify right side
    78,384.99x = 4,605,502,026.46
  5. Step 5: Solve for x
    x = 4,605,502,026.46/78,384.99
  6. Step 6: Final answer
    x = 58,754.90

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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.