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Finding the Fourth Proportional to 65,228.80, 97,875.60 and 25,787.20

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Solution

The fourth proportional to 65,228.80, 97,875.60 and 25,787.20 is: 38,693.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,228.80 : 97,875.60 = 25,787.20 : x
  2. Step 2: Convert to fraction form
    65,228.80/97,875.60 = 25,787.20/x
  3. Step 3: Cross multiply
    65,228.80x = 97,875.60 × 25,787.20
  4. Step 4: Simplify right side
    65,228.80x = 2,523,937,672.32
  5. Step 5: Solve for x
    x = 2,523,937,672.32/65,228.80
  6. Step 6: Final answer
    x = 38,693.61

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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.