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Finding the Fourth Proportional to 42,086.48, 63,116.76 and 14,378

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Solution

The fourth proportional to 42,086.48, 63,116.76 and 14,378 is: 21,562.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,086.48 : 63,116.76 = 14,378 : x
  2. Step 2: Convert to fraction form
    42,086.48/63,116.76 = 14,378/x
  3. Step 3: Cross multiply
    42,086.48x = 63,116.76 × 14,378
  4. Step 4: Simplify right side
    42,086.48x = 907,492,775.28
  5. Step 5: Solve for x
    x = 907,492,775.28/42,086.48
  6. Step 6: Final answer
    x = 21,562.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.