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Finding the Fourth Proportional to 97,314.69, 146,054.05 and 38,191.88

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Solution

The fourth proportional to 97,314.69, 146,054.05 and 38,191.88 is: 57,320.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,314.69 : 146,054.05 = 38,191.88 : x
  2. Step 2: Convert to fraction form
    97,314.69/146,054.05 = 38,191.88/x
  3. Step 3: Cross multiply
    97,314.69x = 146,054.05 × 38,191.88
  4. Step 4: Simplify right side
    97,314.69x = 5,578,078,751.11
  5. Step 5: Solve for x
    x = 5,578,078,751.11/97,314.69
  6. Step 6: Final answer
    x = 57,320.01

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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.