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Finding the Fourth Proportional to 42,548.50, 63,862.14 and 21,503.34

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Solution

The fourth proportional to 42,548.50, 63,862.14 and 21,503.34 is: 32,274.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,548.50 : 63,862.14 = 21,503.34 : x
  2. Step 2: Convert to fraction form
    42,548.50/63,862.14 = 21,503.34/x
  3. Step 3: Cross multiply
    42,548.50x = 63,862.14 × 21,503.34
  4. Step 4: Simplify right side
    42,548.50x = 1,373,249,309.55
  5. Step 5: Solve for x
    x = 1,373,249,309.55/42,548.50
  6. Step 6: Final answer
    x = 32,274.92

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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.