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Finding the Fourth Proportional to 38,745.34, 53,459.85 and 22,831.27

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Solution

The fourth proportional to 38,745.34, 53,459.85 and 22,831.27 is: 31,502.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,745.34 : 53,459.85 = 22,831.27 : x
  2. Step 2: Convert to fraction form
    38,745.34/53,459.85 = 22,831.27/x
  3. Step 3: Cross multiply
    38,745.34x = 53,459.85 × 22,831.27
  4. Step 4: Simplify right side
    38,745.34x = 1,220,556,269.51
  5. Step 5: Solve for x
    x = 1,220,556,269.51/38,745.34
  6. Step 6: Final answer
    x = 31,502.01

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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.