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Finding the Fourth Proportional to 52,254.32, 72,111.48 and 28,381.24

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Solution

The fourth proportional to 52,254.32, 72,111.48 and 28,381.24 is: 39,166.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,254.32 : 72,111.48 = 28,381.24 : x
  2. Step 2: Convert to fraction form
    52,254.32/72,111.48 = 28,381.24/x
  3. Step 3: Cross multiply
    52,254.32x = 72,111.48 × 28,381.24
  4. Step 4: Simplify right side
    52,254.32x = 2,046,613,220.64
  5. Step 5: Solve for x
    x = 2,046,613,220.64/52,254.32
  6. Step 6: Final answer
    x = 39,166.39

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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.