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Finding the Fourth Proportional to 78,969, 118,474.02 and 23,565

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Solution

The fourth proportional to 78,969, 118,474.02 and 23,565 is: 35,353.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,969 : 118,474.02 = 23,565 : x
  2. Step 2: Convert to fraction form
    78,969/118,474.02 = 23,565/x
  3. Step 3: Cross multiply
    78,969x = 118,474.02 × 23,565
  4. Step 4: Simplify right side
    78,969x = 2,791,840,281.30
  5. Step 5: Solve for x
    x = 2,791,840,281.30/78,969
  6. Step 6: Final answer
    x = 35,353.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.