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Finding the Fourth Proportional to 83,307.51, 124,948.42 and 27,147.47

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Solution

The fourth proportional to 83,307.51, 124,948.42 and 27,147.47 is: 40,717.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,307.51 : 124,948.42 = 27,147.47 : x
  2. Step 2: Convert to fraction form
    83,307.51/124,948.42 = 27,147.47/x
  3. Step 3: Cross multiply
    83,307.51x = 124,948.42 × 27,147.47
  4. Step 4: Simplify right side
    83,307.51x = 3,392,033,415.63
  5. Step 5: Solve for x
    x = 3,392,033,415.63/83,307.51
  6. Step 6: Final answer
    x = 40,717.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.