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Finding the Fourth Proportional to 42,598.68, 58,784.04 and 24,699.28

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Solution

The fourth proportional to 42,598.68, 58,784.04 and 24,699.28 is: 34,083.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,598.68 : 58,784.04 = 24,699.28 : x
  2. Step 2: Convert to fraction form
    42,598.68/58,784.04 = 24,699.28/x
  3. Step 3: Cross multiply
    42,598.68x = 58,784.04 × 24,699.28
  4. Step 4: Simplify right side
    42,598.68x = 1,451,923,463.49
  5. Step 5: Solve for x
    x = 1,451,923,463.49/42,598.68
  6. Step 6: Final answer
    x = 34,083.77

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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.