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Finding the Fourth Proportional to 42,114.99, 58,112.07 and 24,206.66

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Solution

The fourth proportional to 42,114.99, 58,112.07 and 24,206.66 is: 33,401.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,114.99 : 58,112.07 = 24,206.66 : x
  2. Step 2: Convert to fraction form
    42,114.99/58,112.07 = 24,206.66/x
  3. Step 3: Cross multiply
    42,114.99x = 58,112.07 × 24,206.66
  4. Step 4: Simplify right side
    42,114.99x = 1,406,698,829.83
  5. Step 5: Solve for x
    x = 1,406,698,829.83/42,114.99
  6. Step 6: Final answer
    x = 33,401.38

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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.