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Finding the Fourth Proportional to 42,459, 63,688.50 and 14,757

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Solution

The fourth proportional to 42,459, 63,688.50 and 14,757 is: 22,135.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,459 : 63,688.50 = 14,757 : x
  2. Step 2: Convert to fraction form
    42,459/63,688.50 = 14,757/x
  3. Step 3: Cross multiply
    42,459x = 63,688.50 × 14,757
  4. Step 4: Simplify right side
    42,459x = 939,851,194.50
  5. Step 5: Solve for x
    x = 939,851,194.50/42,459
  6. Step 6: Final answer
    x = 22,135.50

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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.