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Finding the Fourth Proportional to 77,503.76, 106,751.48 and 59,564.44

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Solution

The fourth proportional to 77,503.76, 106,751.48 and 59,564.44 is: 82,042.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,503.76 : 106,751.48 = 59,564.44 : x
  2. Step 2: Convert to fraction form
    77,503.76/106,751.48 = 59,564.44/x
  3. Step 3: Cross multiply
    77,503.76x = 106,751.48 × 59,564.44
  4. Step 4: Simplify right side
    77,503.76x = 6,358,592,125.37
  5. Step 5: Solve for x
    x = 6,358,592,125.37/77,503.76
  6. Step 6: Final answer
    x = 82,042.37

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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.