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Finding the Fourth Proportional to 97,164, 145,746 and 27,045.14

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Solution

The fourth proportional to 97,164, 145,746 and 27,045.14 is: 40,567.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,164 : 145,746 = 27,045.14 : x
  2. Step 2: Convert to fraction form
    97,164/145,746 = 27,045.14/x
  3. Step 3: Cross multiply
    97,164x = 145,746 × 27,045.14
  4. Step 4: Simplify right side
    97,164x = 3,941,720,245.71
  5. Step 5: Solve for x
    x = 3,941,720,245.71/97,164
  6. Step 6: Final answer
    x = 40,567.70

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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.