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Finding the Fourth Proportional to 78,565.42, 117,866.58 and 25,974.90

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Solution

The fourth proportional to 78,565.42, 117,866.58 and 25,974.90 is: 38,968.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,565.42 : 117,866.58 = 25,974.90 : x
  2. Step 2: Convert to fraction form
    78,565.42/117,866.58 = 25,974.90/x
  3. Step 3: Cross multiply
    78,565.42x = 117,866.58 × 25,974.90
  4. Step 4: Simplify right side
    78,565.42x = 3,061,572,628.84
  5. Step 5: Solve for x
    x = 3,061,572,628.84/78,565.42
  6. Step 6: Final answer
    x = 38,968.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.