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Finding the Fourth Proportional to 82,345.38, 113,637.51 and 46,535.82

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Solution

The fourth proportional to 82,345.38, 113,637.51 and 46,535.82 is: 64,219.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,345.38 : 113,637.51 = 46,535.82 : x
  2. Step 2: Convert to fraction form
    82,345.38/113,637.51 = 46,535.82/x
  3. Step 3: Cross multiply
    82,345.38x = 113,637.51 × 46,535.82
  4. Step 4: Simplify right side
    82,345.38x = 5,288,214,710.61
  5. Step 5: Solve for x
    x = 5,288,214,710.61/82,345.38
  6. Step 6: Final answer
    x = 64,219.93

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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.