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Finding the Fourth Proportional to 42,880, 59,174.40 and 24,017.08

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Solution

The fourth proportional to 42,880, 59,174.40 and 24,017.08 is: 33,143.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,880 : 59,174.40 = 24,017.08 : x
  2. Step 2: Convert to fraction form
    42,880/59,174.40 = 24,017.08/x
  3. Step 3: Cross multiply
    42,880x = 59,174.40 × 24,017.08
  4. Step 4: Simplify right side
    42,880x = 1,421,196,298.75
  5. Step 5: Solve for x
    x = 1,421,196,298.75/42,880
  6. Step 6: Final answer
    x = 33,143.57

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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.