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Finding the Fourth Proportional to 43,428, 59,930.64 and 24,564.72

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Solution

The fourth proportional to 43,428, 59,930.64 and 24,564.72 is: 33,899.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,428 : 59,930.64 = 24,564.72 : x
  2. Step 2: Convert to fraction form
    43,428/59,930.64 = 24,564.72/x
  3. Step 3: Cross multiply
    43,428x = 59,930.64 × 24,564.72
  4. Step 4: Simplify right side
    43,428x = 1,472,179,391.02
  5. Step 5: Solve for x
    x = 1,472,179,391.02/43,428
  6. Step 6: Final answer
    x = 33,899.31

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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.