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Finding the Fourth Proportional to 78,294.88, 108,046.08 and 42,485.68

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Solution

The fourth proportional to 78,294.88, 108,046.08 and 42,485.68 is: 58,629.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,294.88 : 108,046.08 = 42,485.68 : x
  2. Step 2: Convert to fraction form
    78,294.88/108,046.08 = 42,485.68/x
  3. Step 3: Cross multiply
    78,294.88x = 108,046.08 × 42,485.68
  4. Step 4: Simplify right side
    78,294.88x = 4,590,411,180.13
  5. Step 5: Solve for x
    x = 4,590,411,180.13/78,294.88
  6. Step 6: Final answer
    x = 58,629.77

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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.