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Finding the Fourth Proportional to 97,213.69, 145,832.69 and 38,041.71

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Solution

The fourth proportional to 97,213.69, 145,832.69 and 38,041.71 is: 57,067.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,213.69 : 145,832.69 = 38,041.71 : x
  2. Step 2: Convert to fraction form
    97,213.69/145,832.69 = 38,041.71/x
  3. Step 3: Cross multiply
    97,213.69x = 145,832.69 × 38,041.71
  4. Step 4: Simplify right side
    97,213.69x = 5,547,724,901.50
  5. Step 5: Solve for x
    x = 5,547,724,901.50/97,213.69
  6. Step 6: Final answer
    x = 57,067.32

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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.