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Finding the Fourth Proportional to 83,122, 124,599.85 and 29,799.47

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Solution

The fourth proportional to 83,122, 124,599.85 and 29,799.47 is: 44,669.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,122 : 124,599.85 = 29,799.47 : x
  2. Step 2: Convert to fraction form
    83,122/124,599.85 = 29,799.47/x
  3. Step 3: Cross multiply
    83,122x = 124,599.85 × 29,799.47
  4. Step 4: Simplify right side
    83,122x = 3,713,009,492.08
  5. Step 5: Solve for x
    x = 3,713,009,492.08/83,122
  6. Step 6: Final answer
    x = 44,669.40

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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.