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Finding the Fourth Proportional to 97,253.49, 145,895.81 and 41,094.15

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Solution

The fourth proportional to 97,253.49, 145,895.81 and 41,094.15 is: 61,647.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,253.49 : 145,895.81 = 41,094.15 : x
  2. Step 2: Convert to fraction form
    97,253.49/145,895.81 = 41,094.15/x
  3. Step 3: Cross multiply
    97,253.49x = 145,895.81 × 41,094.15
  4. Step 4: Simplify right side
    97,253.49x = 5,995,464,095.04
  5. Step 5: Solve for x
    x = 5,995,464,095.04/97,253.49
  6. Step 6: Final answer
    x = 61,647.80

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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.