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Finding the Fourth Proportional to 39,702.16, 59,541.42 and 17,509.78

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Solution

The fourth proportional to 39,702.16, 59,541.42 and 17,509.78 is: 26,259.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,702.16 : 59,541.42 = 17,509.78 : x
  2. Step 2: Convert to fraction form
    39,702.16/59,541.42 = 17,509.78/x
  3. Step 3: Cross multiply
    39,702.16x = 59,541.42 × 17,509.78
  4. Step 4: Simplify right side
    39,702.16x = 1,042,557,165.09
  5. Step 5: Solve for x
    x = 1,042,557,165.09/39,702.16
  6. Step 6: Final answer
    x = 26,259.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.