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Finding the Fourth Proportional to 97,378.38, 134,382.16 and 52,666.38

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Solution

The fourth proportional to 97,378.38, 134,382.16 and 52,666.38 is: 72,679.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,378.38 : 134,382.16 = 52,666.38 : x
  2. Step 2: Convert to fraction form
    97,378.38/134,382.16 = 52,666.38/x
  3. Step 3: Cross multiply
    97,378.38x = 134,382.16 × 52,666.38
  4. Step 4: Simplify right side
    97,378.38x = 7,077,421,903.78
  5. Step 5: Solve for x
    x = 7,077,421,903.78/97,378.38
  6. Step 6: Final answer
    x = 72,679.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.