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Finding the Fourth Proportional to 73,507.47, 101,434.59 and 41,681.49

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Solution

The fourth proportional to 73,507.47, 101,434.59 and 41,681.49 is: 57,517.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,507.47 : 101,434.59 = 41,681.49 : x
  2. Step 2: Convert to fraction form
    73,507.47/101,434.59 = 41,681.49/x
  3. Step 3: Cross multiply
    73,507.47x = 101,434.59 × 41,681.49
  4. Step 4: Simplify right side
    73,507.47x = 4,227,944,848.74
  5. Step 5: Solve for x
    x = 4,227,944,848.74/73,507.47
  6. Step 6: Final answer
    x = 57,517.21

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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.