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Finding the Fourth Proportional to 32,776.64, 49,214.19 and 18,752.50

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Solution

The fourth proportional to 32,776.64, 49,214.19 and 18,752.50 is: 28,156.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,776.64 : 49,214.19 = 18,752.50 : x
  2. Step 2: Convert to fraction form
    32,776.64/49,214.19 = 18,752.50/x
  3. Step 3: Cross multiply
    32,776.64x = 49,214.19 × 18,752.50
  4. Step 4: Simplify right side
    32,776.64x = 922,889,097.98
  5. Step 5: Solve for x
    x = 922,889,097.98/32,776.64
  6. Step 6: Final answer
    x = 28,156.92

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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.