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Finding the Fourth Proportional to 42,411.88, 63,608.10 and 19,045

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Solution

The fourth proportional to 42,411.88, 63,608.10 and 19,045 is: 28,563.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,411.88 : 63,608.10 = 19,045 : x
  2. Step 2: Convert to fraction form
    42,411.88/63,608.10 = 19,045/x
  3. Step 3: Cross multiply
    42,411.88x = 63,608.10 × 19,045
  4. Step 4: Simplify right side
    42,411.88x = 1,211,416,264.50
  5. Step 5: Solve for x
    x = 1,211,416,264.50/42,411.88
  6. Step 6: Final answer
    x = 28,563.14

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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.