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Finding the Fourth Proportional to 78,452.94, 108,267.16 and 42,645.36

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Solution

The fourth proportional to 78,452.94, 108,267.16 and 42,645.36 is: 58,851.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,452.94 : 108,267.16 = 42,645.36 : x
  2. Step 2: Convert to fraction form
    78,452.94/108,267.16 = 42,645.36/x
  3. Step 3: Cross multiply
    78,452.94x = 108,267.16 × 42,645.36
  4. Step 4: Simplify right side
    78,452.94x = 4,617,092,014.38
  5. Step 5: Solve for x
    x = 4,617,092,014.38/78,452.94
  6. Step 6: Final answer
    x = 58,851.74

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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.