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Finding the Fourth Proportional to 78,376.17, 108,157.29 and 42,565.41

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Solution

The fourth proportional to 78,376.17, 108,157.29 and 42,565.41 is: 58,739.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,376.17 : 108,157.29 = 42,565.41 : x
  2. Step 2: Convert to fraction form
    78,376.17/108,157.29 = 42,565.41/x
  3. Step 3: Cross multiply
    78,376.17x = 108,157.29 × 42,565.41
  4. Step 4: Simplify right side
    78,376.17x = 4,603,759,393.34
  5. Step 5: Solve for x
    x = 4,603,759,393.34/78,376.17
  6. Step 6: Final answer
    x = 58,739.27

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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.