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Finding the Fourth Proportional to 52,486.07, 72,428.16 and 29,822.07

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Solution

The fourth proportional to 52,486.07, 72,428.16 and 29,822.07 is: 41,152.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,486.07 : 72,428.16 = 29,822.07 : x
  2. Step 2: Convert to fraction form
    52,486.07/72,428.16 = 29,822.07/x
  3. Step 3: Cross multiply
    52,486.07x = 72,428.16 × 29,822.07
  4. Step 4: Simplify right side
    52,486.07x = 2,159,957,657.49
  5. Step 5: Solve for x
    x = 2,159,957,657.49/52,486.07
  6. Step 6: Final answer
    x = 41,152.97

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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.