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Finding the Fourth Proportional to 85,902.42, 128,822.75 and 29,727.28

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Solution

The fourth proportional to 85,902.42, 128,822.75 and 29,727.28 is: 44,580.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,902.42 : 128,822.75 = 29,727.28 : x
  2. Step 2: Convert to fraction form
    85,902.42/128,822.75 = 29,727.28/x
  3. Step 3: Cross multiply
    85,902.42x = 128,822.75 × 29,727.28
  4. Step 4: Simplify right side
    85,902.42x = 3,829,549,888.39
  5. Step 5: Solve for x
    x = 3,829,549,888.39/85,902.42
  6. Step 6: Final answer
    x = 44,580.23

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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.