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Finding the Fourth Proportional to 42,267.74, 58,329.36 and 24,362.64

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Solution

The fourth proportional to 42,267.74, 58,329.36 and 24,362.64 is: 33,620.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,267.74 : 58,329.36 = 24,362.64 : x
  2. Step 2: Convert to fraction form
    42,267.74/58,329.36 = 24,362.64/x
  3. Step 3: Cross multiply
    42,267.74x = 58,329.36 × 24,362.64
  4. Step 4: Simplify right side
    42,267.74x = 1,421,057,199.11
  5. Step 5: Solve for x
    x = 1,421,057,199.11/42,267.74
  6. Step 6: Final answer
    x = 33,620.38

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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.