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Finding the Fourth Proportional to 61,409.80, 92,114.70 and 19,856.80

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Solution

The fourth proportional to 61,409.80, 92,114.70 and 19,856.80 is: 29,785.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,409.80 : 92,114.70 = 19,856.80 : x
  2. Step 2: Convert to fraction form
    61,409.80/92,114.70 = 19,856.80/x
  3. Step 3: Cross multiply
    61,409.80x = 92,114.70 × 19,856.80
  4. Step 4: Simplify right side
    61,409.80x = 1,829,103,174.96
  5. Step 5: Solve for x
    x = 1,829,103,174.96/61,409.80
  6. Step 6: Final answer
    x = 29,785.20

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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.