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Finding the Fourth Proportional to 47,652.30, 65,567.07 and 39,123

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Solution

The fourth proportional to 47,652.30, 65,567.07 and 39,123 is: 53,831.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,652.30 : 65,567.07 = 39,123 : x
  2. Step 2: Convert to fraction form
    47,652.30/65,567.07 = 39,123/x
  3. Step 3: Cross multiply
    47,652.30x = 65,567.07 × 39,123
  4. Step 4: Simplify right side
    47,652.30x = 2,565,180,479.61
  5. Step 5: Solve for x
    x = 2,565,180,479.61/47,652.30
  6. Step 6: Final answer
    x = 53,831.20

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1.5x scale

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.