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Finding the Fourth Proportional to 46,265.48, 69,387.82 and 21,281.52

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Solution

The fourth proportional to 46,265.48, 69,387.82 and 21,281.52 is: 31,917.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,265.48 : 69,387.82 = 21,281.52 : x
  2. Step 2: Convert to fraction form
    46,265.48/69,387.82 = 21,281.52/x
  3. Step 3: Cross multiply
    46,265.48x = 69,387.82 × 21,281.52
  4. Step 4: Simplify right side
    46,265.48x = 1,476,678,279.09
  5. Step 5: Solve for x
    x = 1,476,678,279.09/46,265.48
  6. Step 6: Final answer
    x = 31,917.50

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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.