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Finding the Fourth Proportional to 38,501.78, 53,132.02 and 22,583.16

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Solution

The fourth proportional to 38,501.78, 53,132.02 and 22,583.16 is: 31,164.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,501.78 : 53,132.02 = 22,583.16 : x
  2. Step 2: Convert to fraction form
    38,501.78/53,132.02 = 22,583.16/x
  3. Step 3: Cross multiply
    38,501.78x = 53,132.02 × 22,583.16
  4. Step 4: Simplify right side
    38,501.78x = 1,199,888,852.33
  5. Step 5: Solve for x
    x = 1,199,888,852.33/38,501.78
  6. Step 6: Final answer
    x = 31,164.51

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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.