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Finding the Fourth Proportional to 83,157.96, 124,740.95 and 23,186.32

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Solution

The fourth proportional to 83,157.96, 124,740.95 and 23,186.32 is: 34,780.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,157.96 : 124,740.95 = 23,186.32 : x
  2. Step 2: Convert to fraction form
    83,157.96/124,740.95 = 23,186.32/x
  3. Step 3: Cross multiply
    83,157.96x = 124,740.95 × 23,186.32
  4. Step 4: Simplify right side
    83,157.96x = 2,892,282,960.10
  5. Step 5: Solve for x
    x = 2,892,282,960.10/83,157.96
  6. Step 6: Final answer
    x = 34,780.59

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1.5x scale

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.