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Finding the Fourth Proportional to 78,407.74, 108,202.10 and 42,598.04

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Solution

The fourth proportional to 78,407.74, 108,202.10 and 42,598.04 is: 58,784.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,407.74 : 108,202.10 = 42,598.04 : x
  2. Step 2: Convert to fraction form
    78,407.74/108,202.10 = 42,598.04/x
  3. Step 3: Cross multiply
    78,407.74x = 108,202.10 × 42,598.04
  4. Step 4: Simplify right side
    78,407.74x = 4,609,197,601.14
  5. Step 5: Solve for x
    x = 4,609,197,601.14/78,407.74
  6. Step 6: Final answer
    x = 58,784.98

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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.