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Finding the Fourth Proportional to 42,586.64, 63,452.02 and 40,202

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Solution

The fourth proportional to 42,586.64, 63,452.02 and 40,202 is: 59,899.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,586.64 : 63,452.02 = 40,202 : x
  2. Step 2: Convert to fraction form
    42,586.64/63,452.02 = 40,202/x
  3. Step 3: Cross multiply
    42,586.64x = 63,452.02 × 40,202
  4. Step 4: Simplify right side
    42,586.64x = 2,550,898,108.04
  5. Step 5: Solve for x
    x = 2,550,898,108.04/42,586.64
  6. Step 6: Final answer
    x = 59,899.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.