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Finding the Fourth Proportional to 91,162.96, 136,733.40 and 24,598

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Solution

The fourth proportional to 91,162.96, 136,733.40 and 24,598 is: 36,894.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,162.96 : 136,733.40 = 24,598 : x
  2. Step 2: Convert to fraction form
    91,162.96/136,733.40 = 24,598/x
  3. Step 3: Cross multiply
    91,162.96x = 136,733.40 × 24,598
  4. Step 4: Simplify right side
    91,162.96x = 3,363,368,173.20
  5. Step 5: Solve for x
    x = 3,363,368,173.20/91,162.96
  6. Step 6: Final answer
    x = 36,894.02

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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.