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Finding the Fourth Proportional to 41,702.50, 57,549.45 and 26,798.50

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Solution

The fourth proportional to 41,702.50, 57,549.45 and 26,798.50 is: 36,981.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,702.50 : 57,549.45 = 26,798.50 : x
  2. Step 2: Convert to fraction form
    41,702.50/57,549.45 = 26,798.50/x
  3. Step 3: Cross multiply
    41,702.50x = 57,549.45 × 26,798.50
  4. Step 4: Simplify right side
    41,702.50x = 1,542,238,935.83
  5. Step 5: Solve for x
    x = 1,542,238,935.83/41,702.50
  6. Step 6: Final answer
    x = 36,981.93

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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.