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Finding the Fourth Proportional to 72,987.81, 100,723.25 and 42,767.11

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Solution

The fourth proportional to 72,987.81, 100,723.25 and 42,767.11 is: 59,018.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,987.81 : 100,723.25 = 42,767.11 : x
  2. Step 2: Convert to fraction form
    72,987.81/100,723.25 = 42,767.11/x
  3. Step 3: Cross multiply
    72,987.81x = 100,723.25 × 42,767.11
  4. Step 4: Simplify right side
    72,987.81x = 4,307,642,098.47
  5. Step 5: Solve for x
    x = 4,307,642,098.47/72,987.81
  6. Step 6: Final answer
    x = 59,018.66

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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.