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Finding the Fourth Proportional to 42,223.48, 63,341.70 and 14,515

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Solution

The fourth proportional to 42,223.48, 63,341.70 and 14,515 is: 21,774.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,223.48 : 63,341.70 = 14,515 : x
  2. Step 2: Convert to fraction form
    42,223.48/63,341.70 = 14,515/x
  3. Step 3: Cross multiply
    42,223.48x = 63,341.70 × 14,515
  4. Step 4: Simplify right side
    42,223.48x = 919,404,775.50
  5. Step 5: Solve for x
    x = 919,404,775.50/42,223.48
  6. Step 6: Final answer
    x = 21,774.73

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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.