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Finding the Fourth Proportional to 64,952.88, 97,432.15 and 20,582.90

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Solution

The fourth proportional to 64,952.88, 97,432.15 and 20,582.90 is: 30,875.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,952.88 : 97,432.15 = 20,582.90 : x
  2. Step 2: Convert to fraction form
    64,952.88/97,432.15 = 20,582.90/x
  3. Step 3: Cross multiply
    64,952.88x = 97,432.15 × 20,582.90
  4. Step 4: Simplify right side
    64,952.88x = 2,005,436,200.24
  5. Step 5: Solve for x
    x = 2,005,436,200.24/64,952.88
  6. Step 6: Final answer
    x = 30,875.25

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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.