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Finding the Fourth Proportional to 83,075.65, 114,642.91 and 47,264.89

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Solution

The fourth proportional to 83,075.65, 114,642.91 and 47,264.89 is: 65,224.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,075.65 : 114,642.91 = 47,264.89 : x
  2. Step 2: Convert to fraction form
    83,075.65/114,642.91 = 47,264.89/x
  3. Step 3: Cross multiply
    83,075.65x = 114,642.91 × 47,264.89
  4. Step 4: Simplify right side
    83,075.65x = 5,418,584,530.43
  5. Step 5: Solve for x
    x = 5,418,584,530.43/83,075.65
  6. Step 6: Final answer
    x = 65,224.70

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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.