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Finding the Fourth Proportional to 83,230.25, 114,857.93 and 45,506.93

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Solution

The fourth proportional to 83,230.25, 114,857.93 and 45,506.93 is: 62,799.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,230.25 : 114,857.93 = 45,506.93 : x
  2. Step 2: Convert to fraction form
    83,230.25/114,857.93 = 45,506.93/x
  3. Step 3: Cross multiply
    83,230.25x = 114,857.93 × 45,506.93
  4. Step 4: Simplify right side
    83,230.25x = 5,226,831,319.93
  5. Step 5: Solve for x
    x = 5,226,831,319.93/83,230.25
  6. Step 6: Final answer
    x = 62,799.66

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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.