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Finding the Fourth Proportional to 32,894.70, 49,346.84 and 10,397.76

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Solution

The fourth proportional to 32,894.70, 49,346.84 and 10,397.76 is: 15,598.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,894.70 : 49,346.84 = 10,397.76 : x
  2. Step 2: Convert to fraction form
    32,894.70/49,346.84 = 10,397.76/x
  3. Step 3: Cross multiply
    32,894.70x = 49,346.84 × 10,397.76
  4. Step 4: Simplify right side
    32,894.70x = 513,096,599.08
  5. Step 5: Solve for x
    x = 513,096,599.08/32,894.70
  6. Step 6: Final answer
    x = 15,598.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.