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Finding the Fourth Proportional to 32,412.05, 44,728.49 and 18,071.70

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Solution

The fourth proportional to 32,412.05, 44,728.49 and 18,071.70 is: 24,938.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,412.05 : 44,728.49 = 18,071.70 : x
  2. Step 2: Convert to fraction form
    32,412.05/44,728.49 = 18,071.70/x
  3. Step 3: Cross multiply
    32,412.05x = 44,728.49 × 18,071.70
  4. Step 4: Simplify right side
    32,412.05x = 808,319,762.37
  5. Step 5: Solve for x
    x = 808,319,762.37/32,412.05
  6. Step 6: Final answer
    x = 24,938.87

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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.