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Finding the Fourth Proportional to 61,516.40, 92,274.60 and 30,412.40

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Solution

The fourth proportional to 61,516.40, 92,274.60 and 30,412.40 is: 45,618.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,516.40 : 92,274.60 = 30,412.40 : x
  2. Step 2: Convert to fraction form
    61,516.40/92,274.60 = 30,412.40/x
  3. Step 3: Cross multiply
    61,516.40x = 92,274.60 × 30,412.40
  4. Step 4: Simplify right side
    61,516.40x = 2,806,292,045.04
  5. Step 5: Solve for x
    x = 2,806,292,045.04/61,516.40
  6. Step 6: Final answer
    x = 45,618.60

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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.