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Finding the Fourth Proportional to 42,024, 63,013.74 and 12,437.76

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Solution

The fourth proportional to 42,024, 63,013.74 and 12,437.76 is: 18,650.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,024 : 63,013.74 = 12,437.76 : x
  2. Step 2: Convert to fraction form
    42,024/63,013.74 = 12,437.76/x
  3. Step 3: Cross multiply
    42,024x = 63,013.74 × 12,437.76
  4. Step 4: Simplify right side
    42,024x = 783,749,774.82
  5. Step 5: Solve for x
    x = 783,749,774.82/42,024
  6. Step 6: Final answer
    x = 18,650.05

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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.