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Finding the Fourth Proportional to 77,297.31, 116,472.48 and 63,564.93

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Solution

The fourth proportional to 77,297.31, 116,472.48 and 63,564.93 is: 95,780.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,297.31 : 116,472.48 = 63,564.93 : x
  2. Step 2: Convert to fraction form
    77,297.31/116,472.48 = 63,564.93/x
  3. Step 3: Cross multiply
    77,297.31x = 116,472.48 × 63,564.93
  4. Step 4: Simplify right side
    77,297.31x = 7,403,564,799.76
  5. Step 5: Solve for x
    x = 7,403,564,799.76/77,297.31
  6. Step 6: Final answer
    x = 95,780.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.