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Finding the Fourth Proportional to 56,209.82, 77,605.72 and 36,075.38

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Solution

The fourth proportional to 56,209.82, 77,605.72 and 36,075.38 is: 49,807.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,209.82 : 77,605.72 = 36,075.38 : x
  2. Step 2: Convert to fraction form
    56,209.82/77,605.72 = 36,075.38/x
  3. Step 3: Cross multiply
    56,209.82x = 77,605.72 × 36,075.38
  4. Step 4: Simplify right side
    56,209.82x = 2,799,655,839.17
  5. Step 5: Solve for x
    x = 2,799,655,839.17/56,209.82
  6. Step 6: Final answer
    x = 49,807.24

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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.