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Finding the Fourth Proportional to 61,500, 92,256.48 and 28,214.40

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Solution

The fourth proportional to 61,500, 92,256.48 and 28,214.40 is: 42,324.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,500 : 92,256.48 = 28,214.40 : x
  2. Step 2: Convert to fraction form
    61,500/92,256.48 = 28,214.40/x
  3. Step 3: Cross multiply
    61,500x = 92,256.48 × 28,214.40
  4. Step 4: Simplify right side
    61,500x = 2,602,961,229.31
  5. Step 5: Solve for x
    x = 2,602,961,229.31/61,500
  6. Step 6: Final answer
    x = 42,324.57

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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.