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Finding the Fourth Proportional to 56,177.24, 77,347.71 and 47,661.71

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Solution

The fourth proportional to 56,177.24, 77,347.71 and 47,661.71 is: 65,623.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,177.24 : 77,347.71 = 47,661.71 : x
  2. Step 2: Convert to fraction form
    56,177.24/77,347.71 = 47,661.71/x
  3. Step 3: Cross multiply
    56,177.24x = 77,347.71 × 47,661.71
  4. Step 4: Simplify right side
    56,177.24x = 3,686,523,736.45
  5. Step 5: Solve for x
    x = 3,686,523,736.45/56,177.24
  6. Step 6: Final answer
    x = 65,623.09

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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.