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Finding the Fourth Proportional to 83,185.47, 114,796 and 45,459.72

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Solution

The fourth proportional to 83,185.47, 114,796 and 45,459.72 is: 62,734.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,185.47 : 114,796 = 45,459.72 : x
  2. Step 2: Convert to fraction form
    83,185.47/114,796 = 45,459.72/x
  3. Step 3: Cross multiply
    83,185.47x = 114,796 × 45,459.72
  4. Step 4: Simplify right side
    83,185.47x = 5,218,594,017.12
  5. Step 5: Solve for x
    x = 5,218,594,017.12/83,185.47
  6. Step 6: Final answer
    x = 62,734.44

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1.5x scale

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.