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Finding the Fourth Proportional to 83,521, 115,255.14 and 50,005.48

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Solution

The fourth proportional to 83,521, 115,255.14 and 50,005.48 is: 69,005.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,521 : 115,255.14 = 50,005.48 : x
  2. Step 2: Convert to fraction form
    83,521/115,255.14 = 50,005.48/x
  3. Step 3: Cross multiply
    83,521x = 115,255.14 × 50,005.48
  4. Step 4: Simplify right side
    83,521x = 5,763,388,598.17
  5. Step 5: Solve for x
    x = 5,763,388,598.17/83,521
  6. Step 6: Final answer
    x = 69,005.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.