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Finding the Fourth Proportional to 78,396.38, 108,185.18 and 42,585.60

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Solution

The fourth proportional to 78,396.38, 108,185.18 and 42,585.60 is: 58,767.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,396.38 : 108,185.18 = 42,585.60 : x
  2. Step 2: Convert to fraction form
    78,396.38/108,185.18 = 42,585.60/x
  3. Step 3: Cross multiply
    78,396.38x = 108,185.18 × 42,585.60
  4. Step 4: Simplify right side
    78,396.38x = 4,607,130,801.41
  5. Step 5: Solve for x
    x = 4,607,130,801.41/78,396.38
  6. Step 6: Final answer
    x = 58,767.14

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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.