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Finding the Fourth Proportional to 61,342.50, 92,013.60 and 19,225.80

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Solution

The fourth proportional to 61,342.50, 92,013.60 and 19,225.80 is: 28,838.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,342.50 : 92,013.60 = 19,225.80 : x
  2. Step 2: Convert to fraction form
    61,342.50/92,013.60 = 19,225.80/x
  3. Step 3: Cross multiply
    61,342.50x = 92,013.60 × 19,225.80
  4. Step 4: Simplify right side
    61,342.50x = 1,769,035,070.88
  5. Step 5: Solve for x
    x = 1,769,035,070.88/61,342.50
  6. Step 6: Final answer
    x = 28,838.65

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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.