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Finding the Fourth Proportional to 83,801.22, 115,651.35 and 46,075.38

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Solution

The fourth proportional to 83,801.22, 115,651.35 and 46,075.38 is: 63,587.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,801.22 : 115,651.35 = 46,075.38 : x
  2. Step 2: Convert to fraction form
    83,801.22/115,651.35 = 46,075.38/x
  3. Step 3: Cross multiply
    83,801.22x = 115,651.35 × 46,075.38
  4. Step 4: Simplify right side
    83,801.22x = 5,328,679,898.76
  5. Step 5: Solve for x
    x = 5,328,679,898.76/83,801.22
  6. Step 6: Final answer
    x = 63,587.14

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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.