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Finding the Fourth Proportional to 78,695.38, 108,599.64 and 42,885.40

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Solution

The fourth proportional to 78,695.38, 108,599.64 and 42,885.40 is: 59,181.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,695.38 : 108,599.64 = 42,885.40 : x
  2. Step 2: Convert to fraction form
    78,695.38/108,599.64 = 42,885.40/x
  3. Step 3: Cross multiply
    78,695.38x = 108,599.64 × 42,885.40
  4. Step 4: Simplify right side
    78,695.38x = 4,657,338,729.76
  5. Step 5: Solve for x
    x = 4,657,338,729.76/78,695.38
  6. Step 6: Final answer
    x = 59,181.86

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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.