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Finding the Fourth Proportional to 61,213.65, 84,474.84 and 34,356.16

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Solution

The fourth proportional to 61,213.65, 84,474.84 and 34,356.16 is: 47,411.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,213.65 : 84,474.84 = 34,356.16 : x
  2. Step 2: Convert to fraction form
    61,213.65/84,474.84 = 34,356.16/x
  3. Step 3: Cross multiply
    61,213.65x = 84,474.84 × 34,356.16
  4. Step 4: Simplify right side
    61,213.65x = 2,902,230,726.19
  5. Step 5: Solve for x
    x = 2,902,230,726.19/61,213.65
  6. Step 6: Final answer
    x = 47,411.50

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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.