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Finding the Fourth Proportional to 61,888.64, 92,834.76 and 15,141.50

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Solution

The fourth proportional to 61,888.64, 92,834.76 and 15,141.50 is: 22,712.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,888.64 : 92,834.76 = 15,141.50 : x
  2. Step 2: Convert to fraction form
    61,888.64/92,834.76 = 15,141.50/x
  3. Step 3: Cross multiply
    61,888.64x = 92,834.76 × 15,141.50
  4. Step 4: Simplify right side
    61,888.64x = 1,405,657,518.54
  5. Step 5: Solve for x
    x = 1,405,657,518.54/61,888.64
  6. Step 6: Final answer
    x = 22,712.69

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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.