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Finding the Fourth Proportional to 38,281.86, 52,831.35 and 21,289.90

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Solution

The fourth proportional to 38,281.86, 52,831.35 and 21,289.90 is: 29,381.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,281.86 : 52,831.35 = 21,289.90 : x
  2. Step 2: Convert to fraction form
    38,281.86/52,831.35 = 21,289.90/x
  3. Step 3: Cross multiply
    38,281.86x = 52,831.35 × 21,289.90
  4. Step 4: Simplify right side
    38,281.86x = 1,124,774,158.37
  5. Step 5: Solve for x
    x = 1,124,774,158.37/38,281.86
  6. Step 6: Final answer
    x = 29,381.39

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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.