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Finding the Fourth Proportional to 97,775.82, 146,733.66 and 41,655.24

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Solution

The fourth proportional to 97,775.82, 146,733.66 and 41,655.24 is: 62,512.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,775.82 : 146,733.66 = 41,655.24 : x
  2. Step 2: Convert to fraction form
    97,775.82/146,733.66 = 41,655.24/x
  3. Step 3: Cross multiply
    97,775.82x = 146,733.66 × 41,655.24
  4. Step 4: Simplify right side
    97,775.82x = 6,112,225,823.38
  5. Step 5: Solve for x
    x = 6,112,225,823.38/97,775.82
  6. Step 6: Final answer
    x = 62,512.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.