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Finding the Fourth Proportional to 82,555.38, 113,926.86 and 46,752.36

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Solution

The fourth proportional to 82,555.38, 113,926.86 and 46,752.36 is: 64,518.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,555.38 : 113,926.86 = 46,752.36 : x
  2. Step 2: Convert to fraction form
    82,555.38/113,926.86 = 46,752.36/x
  3. Step 3: Cross multiply
    82,555.38x = 113,926.86 × 46,752.36
  4. Step 4: Simplify right side
    82,555.38x = 5,326,349,572.39
  5. Step 5: Solve for x
    x = 5,326,349,572.39/82,555.38
  6. Step 6: Final answer
    x = 64,518.50

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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.