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Finding the Fourth Proportional to 65,333.16, 90,154.31 and 36,648.83

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Solution

The fourth proportional to 65,333.16, 90,154.31 and 36,648.83 is: 50,572.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,333.16 : 90,154.31 = 36,648.83 : x
  2. Step 2: Convert to fraction form
    65,333.16/90,154.31 = 36,648.83/x
  3. Step 3: Cross multiply
    65,333.16x = 90,154.31 × 36,648.83
  4. Step 4: Simplify right side
    65,333.16x = 3,304,049,346.94
  5. Step 5: Solve for x
    x = 3,304,049,346.94/65,333.16
  6. Step 6: Final answer
    x = 50,572.32

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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.