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Finding the Fourth Proportional to 82,807.80, 114,265.24 and 46,990.68

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Solution

The fourth proportional to 82,807.80, 114,265.24 and 46,990.68 is: 64,841.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,807.80 : 114,265.24 = 46,990.68 : x
  2. Step 2: Convert to fraction form
    82,807.80/114,265.24 = 46,990.68/x
  3. Step 3: Cross multiply
    82,807.80x = 114,265.24 × 46,990.68
  4. Step 4: Simplify right side
    82,807.80x = 5,369,401,327.96
  5. Step 5: Solve for x
    x = 5,369,401,327.96/82,807.80
  6. Step 6: Final answer
    x = 64,841.73

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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.