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Finding the Fourth Proportional to 56,323.54, 77,721.17 and 33,658.02

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Solution

The fourth proportional to 56,323.54, 77,721.17 and 33,658.02 is: 46,444.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,323.54 : 77,721.17 = 33,658.02 : x
  2. Step 2: Convert to fraction form
    56,323.54/77,721.17 = 33,658.02/x
  3. Step 3: Cross multiply
    56,323.54x = 77,721.17 × 33,658.02
  4. Step 4: Simplify right side
    56,323.54x = 2,615,940,715.32
  5. Step 5: Solve for x
    x = 2,615,940,715.32/56,323.54
  6. Step 6: Final answer
    x = 46,444.89

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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.