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Finding the Fourth Proportional to 82,314.16, 123,488.45 and 46,791.81

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Solution

The fourth proportional to 82,314.16, 123,488.45 and 46,791.81 is: 70,197.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,314.16 : 123,488.45 = 46,791.81 : x
  2. Step 2: Convert to fraction form
    82,314.16/123,488.45 = 46,791.81/x
  3. Step 3: Cross multiply
    82,314.16x = 123,488.45 × 46,791.81
  4. Step 4: Simplify right side
    82,314.16x = 5,778,248,031.10
  5. Step 5: Solve for x
    x = 5,778,248,031.10/82,314.16
  6. Step 6: Final answer
    x = 70,197.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.