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Finding the Fourth Proportional to 78,471.93, 108,293.40 and 42,664.35

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Solution

The fourth proportional to 78,471.93, 108,293.40 and 42,664.35 is: 58,877.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,471.93 : 108,293.40 = 42,664.35 : x
  2. Step 2: Convert to fraction form
    78,471.93/108,293.40 = 42,664.35/x
  3. Step 3: Cross multiply
    78,471.93x = 108,293.40 × 42,664.35
  4. Step 4: Simplify right side
    78,471.93x = 4,620,267,520.29
  5. Step 5: Solve for x
    x = 4,620,267,520.29/78,471.93
  6. Step 6: Final answer
    x = 58,877.96

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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.