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Finding the Fourth Proportional to 38,220, 52,720.74 and 24,048.24

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Solution

The fourth proportional to 38,220, 52,720.74 and 24,048.24 is: 33,172.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,220 : 52,720.74 = 24,048.24 : x
  2. Step 2: Convert to fraction form
    38,220/52,720.74 = 24,048.24/x
  3. Step 3: Cross multiply
    38,220x = 52,720.74 × 24,048.24
  4. Step 4: Simplify right side
    38,220x = 1,267,841,008.50
  5. Step 5: Solve for x
    x = 1,267,841,008.50/38,220
  6. Step 6: Final answer
    x = 33,172.19

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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.