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Finding the Fourth Proportional to 76,915.20, 115,372.80 and 66,547.20

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Solution

The fourth proportional to 76,915.20, 115,372.80 and 66,547.20 is: 99,820.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,915.20 : 115,372.80 = 66,547.20 : x
  2. Step 2: Convert to fraction form
    76,915.20/115,372.80 = 66,547.20/x
  3. Step 3: Cross multiply
    76,915.20x = 115,372.80 × 66,547.20
  4. Step 4: Simplify right side
    76,915.20x = 7,677,736,796.16
  5. Step 5: Solve for x
    x = 7,677,736,796.16/76,915.20
  6. Step 6: Final answer
    x = 99,820.80

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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.