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Finding the Fourth Proportional to 45,312.48, 67,980.40 and 13,722.64

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Solution

The fourth proportional to 45,312.48, 67,980.40 and 13,722.64 is: 20,587.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,312.48 : 67,980.40 = 13,722.64 : x
  2. Step 2: Convert to fraction form
    45,312.48/67,980.40 = 13,722.64/x
  3. Step 3: Cross multiply
    45,312.48x = 67,980.40 × 13,722.64
  4. Step 4: Simplify right side
    45,312.48x = 932,870,556.26
  5. Step 5: Solve for x
    x = 932,870,556.26/45,312.48
  6. Step 6: Final answer
    x = 20,587.50

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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.