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Finding the Fourth Proportional to 42,054.72, 63,082.08 and 14,352

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Solution

The fourth proportional to 42,054.72, 63,082.08 and 14,352 is: 21,528

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,054.72 : 63,082.08 = 14,352 : x
  2. Step 2: Convert to fraction form
    42,054.72/63,082.08 = 14,352/x
  3. Step 3: Cross multiply
    42,054.72x = 63,082.08 × 14,352
  4. Step 4: Simplify right side
    42,054.72x = 905,354,012.16
  5. Step 5: Solve for x
    x = 905,354,012.16/42,054.72
  6. Step 6: Final answer
    x = 21,528

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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.