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Finding the Fourth Proportional to 97,253.66, 145,900.15 and 41,093.93

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Solution

The fourth proportional to 97,253.66, 145,900.15 and 41,093.93 is: 61,649.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,253.66 : 145,900.15 = 41,093.93 : x
  2. Step 2: Convert to fraction form
    97,253.66/145,900.15 = 41,093.93/x
  3. Step 3: Cross multiply
    97,253.66x = 145,900.15 × 41,093.93
  4. Step 4: Simplify right side
    97,253.66x = 5,995,610,551.09
  5. Step 5: Solve for x
    x = 5,995,610,551.09/97,253.66
  6. Step 6: Final answer
    x = 61,649.20

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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.