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Finding the Fourth Proportional to 61,442.40, 92,140.56 and 26,364

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Solution

The fourth proportional to 61,442.40, 92,140.56 and 26,364 is: 39,536.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,442.40 : 92,140.56 = 26,364 : x
  2. Step 2: Convert to fraction form
    61,442.40/92,140.56 = 26,364/x
  3. Step 3: Cross multiply
    61,442.40x = 92,140.56 × 26,364
  4. Step 4: Simplify right side
    61,442.40x = 2,429,193,723.84
  5. Step 5: Solve for x
    x = 2,429,193,723.84/61,442.40
  6. Step 6: Final answer
    x = 39,536.11

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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.