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Finding the Fourth Proportional to 32,114.70, 44,312.33 and 18,681.05

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Solution

The fourth proportional to 32,114.70, 44,312.33 and 18,681.05 is: 25,776.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,114.70 : 44,312.33 = 18,681.05 : x
  2. Step 2: Convert to fraction form
    32,114.70/44,312.33 = 18,681.05/x
  3. Step 3: Cross multiply
    32,114.70x = 44,312.33 × 18,681.05
  4. Step 4: Simplify right side
    32,114.70x = 827,801,009.83
  5. Step 5: Solve for x
    x = 827,801,009.83/32,114.70
  6. Step 6: Final answer
    x = 25,776.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.