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Finding the Fourth Proportional to 38,501.88, 53,114.34 and 25,068.24

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Solution

The fourth proportional to 38,501.88, 53,114.34 and 25,068.24 is: 34,582.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,501.88 : 53,114.34 = 25,068.24 : x
  2. Step 2: Convert to fraction form
    38,501.88/53,114.34 = 25,068.24/x
  3. Step 3: Cross multiply
    38,501.88x = 53,114.34 × 25,068.24
  4. Step 4: Simplify right side
    38,501.88x = 1,331,483,022.56
  5. Step 5: Solve for x
    x = 1,331,483,022.56/38,501.88
  6. Step 6: Final answer
    x = 34,582.29

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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.