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Finding the Fourth Proportional to 92,419.66, 127,539.14 and 49,978.20

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Solution

The fourth proportional to 92,419.66, 127,539.14 and 49,978.20 is: 68,969.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,419.66 : 127,539.14 = 49,978.20 : x
  2. Step 2: Convert to fraction form
    92,419.66/127,539.14 = 49,978.20/x
  3. Step 3: Cross multiply
    92,419.66x = 127,539.14 × 49,978.20
  4. Step 4: Simplify right side
    92,419.66x = 6,374,176,646.75
  5. Step 5: Solve for x
    x = 6,374,176,646.75/92,419.66
  6. Step 6: Final answer
    x = 68,969.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.