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Finding the Fourth Proportional to 77,532.88, 106,982.59 and 45,707.93

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Solution

The fourth proportional to 77,532.88, 106,982.59 and 45,707.93 is: 63,069.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,532.88 : 106,982.59 = 45,707.93 : x
  2. Step 2: Convert to fraction form
    77,532.88/106,982.59 = 45,707.93/x
  3. Step 3: Cross multiply
    77,532.88x = 106,982.59 × 45,707.93
  4. Step 4: Simplify right side
    77,532.88x = 4,889,952,734.94
  5. Step 5: Solve for x
    x = 4,889,952,734.94/77,532.88
  6. Step 6: Final answer
    x = 63,069.41

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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.