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Finding the Fourth Proportional to 42,577, 63,922.02 and 36,376.84

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Solution

The fourth proportional to 42,577, 63,922.02 and 36,376.84 is: 54,613.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,577 : 63,922.02 = 36,376.84 : x
  2. Step 2: Convert to fraction form
    42,577/63,922.02 = 36,376.84/x
  3. Step 3: Cross multiply
    42,577x = 63,922.02 × 36,376.84
  4. Step 4: Simplify right side
    42,577x = 2,325,281,094.02
  5. Step 5: Solve for x
    x = 2,325,281,094.02/42,577
  6. Step 6: Final answer
    x = 54,613.55

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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.