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Finding the Fourth Proportional to 32,894.71, 49,346.93 and 9,518.11

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Solution

The fourth proportional to 32,894.71, 49,346.93 and 9,518.11 is: 14,278.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,894.71 : 49,346.93 = 9,518.11 : x
  2. Step 2: Convert to fraction form
    32,894.71/49,346.93 = 9,518.11/x
  3. Step 3: Cross multiply
    32,894.71x = 49,346.93 × 9,518.11
  4. Step 4: Simplify right side
    32,894.71x = 469,689,685.91
  5. Step 5: Solve for x
    x = 469,689,685.91/32,894.71
  6. Step 6: Final answer
    x = 14,278.58

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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.