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Finding the Fourth Proportional to 32,810.64, 49,222.44 and 12,034.32

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Solution

The fourth proportional to 32,810.64, 49,222.44 and 12,034.32 is: 18,053.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,810.64 : 49,222.44 = 12,034.32 : x
  2. Step 2: Convert to fraction form
    32,810.64/49,222.44 = 12,034.32/x
  3. Step 3: Cross multiply
    32,810.64x = 49,222.44 × 12,034.32
  4. Step 4: Simplify right side
    32,810.64x = 592,358,594.14
  5. Step 5: Solve for x
    x = 592,358,594.14/32,810.64
  6. Step 6: Final answer
    x = 18,053.86

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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.