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Finding the Fourth Proportional to 97,045.49, 145,630.49 and 47,098.33

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Solution

The fourth proportional to 97,045.49, 145,630.49 and 47,098.33 is: 70,677.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,045.49 : 145,630.49 = 47,098.33 : x
  2. Step 2: Convert to fraction form
    97,045.49/145,630.49 = 47,098.33/x
  3. Step 3: Cross multiply
    97,045.49x = 145,630.49 × 47,098.33
  4. Step 4: Simplify right side
    97,045.49x = 6,858,952,541.44
  5. Step 5: Solve for x
    x = 6,858,952,541.44/97,045.49
  6. Step 6: Final answer
    x = 70,677.70

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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.