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Finding the Fourth Proportional to 77,329.24, 106,754 and 47,538.52

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Solution

The fourth proportional to 77,329.24, 106,754 and 47,538.52 is: 65,627.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,329.24 : 106,754 = 47,538.52 : x
  2. Step 2: Convert to fraction form
    77,329.24/106,754 = 47,538.52/x
  3. Step 3: Cross multiply
    77,329.24x = 106,754 × 47,538.52
  4. Step 4: Simplify right side
    77,329.24x = 5,074,927,164.08
  5. Step 5: Solve for x
    x = 5,074,927,164.08/77,329.24
  6. Step 6: Final answer
    x = 65,627.53

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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.