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Finding the Fourth Proportional to 102,534.72, 153,803.04 and 32,414.40

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Solution

The fourth proportional to 102,534.72, 153,803.04 and 32,414.40 is: 48,621.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,534.72 : 153,803.04 = 32,414.40 : x
  2. Step 2: Convert to fraction form
    102,534.72/153,803.04 = 32,414.40/x
  3. Step 3: Cross multiply
    102,534.72x = 153,803.04 × 32,414.40
  4. Step 4: Simplify right side
    102,534.72x = 4,985,433,259.78
  5. Step 5: Solve for x
    x = 4,985,433,259.78/102,534.72
  6. Step 6: Final answer
    x = 48,621.90

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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.