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Finding the Fourth Proportional to 29,010, 40,034.04 and 15,762

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Solution

The fourth proportional to 29,010, 40,034.04 and 15,762 is: 21,751.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,010 : 40,034.04 = 15,762 : x
  2. Step 2: Convert to fraction form
    29,010/40,034.04 = 15,762/x
  3. Step 3: Cross multiply
    29,010x = 40,034.04 × 15,762
  4. Step 4: Simplify right side
    29,010x = 631,016,538.48
  5. Step 5: Solve for x
    x = 631,016,538.48/29,010
  6. Step 6: Final answer
    x = 21,751.69

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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.