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Finding the Fourth Proportional to 83,282.79, 114,933.23 and 47,467.02

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Solution

The fourth proportional to 83,282.79, 114,933.23 and 47,467.02 is: 65,506.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,282.79 : 114,933.23 = 47,467.02 : x
  2. Step 2: Convert to fraction form
    83,282.79/114,933.23 = 47,467.02/x
  3. Step 3: Cross multiply
    83,282.79x = 114,933.23 × 47,467.02
  4. Step 4: Simplify right side
    83,282.79x = 5,455,537,689.74
  5. Step 5: Solve for x
    x = 5,455,537,689.74/83,282.79
  6. Step 6: Final answer
    x = 65,506.18

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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.