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Finding the Fourth Proportional to 49,075.92, 67,726.88 and 27,857.16

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Solution

The fourth proportional to 49,075.92, 67,726.88 and 27,857.16 is: 38,444.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,075.92 : 67,726.88 = 27,857.16 : x
  2. Step 2: Convert to fraction form
    49,075.92/67,726.88 = 27,857.16/x
  3. Step 3: Cross multiply
    49,075.92x = 67,726.88 × 27,857.16
  4. Step 4: Simplify right side
    49,075.92x = 1,886,678,532.46
  5. Step 5: Solve for x
    x = 1,886,678,532.46/49,075.92
  6. Step 6: Final answer
    x = 38,444.08

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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.