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Finding the Fourth Proportional to 90,473.32, 124,868.15 and 50,200.06

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Solution

The fourth proportional to 90,473.32, 124,868.15 and 50,200.06 is: 69,284.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,473.32 : 124,868.15 = 50,200.06 : x
  2. Step 2: Convert to fraction form
    90,473.32/124,868.15 = 50,200.06/x
  3. Step 3: Cross multiply
    90,473.32x = 124,868.15 × 50,200.06
  4. Step 4: Simplify right side
    90,473.32x = 6,268,387,746.75
  5. Step 5: Solve for x
    x = 6,268,387,746.75/90,473.32
  6. Step 6: Final answer
    x = 69,284.38

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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.