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Finding the Fourth Proportional to 30,939.48, 46,386.50 and 9,867.40

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Solution

The fourth proportional to 30,939.48, 46,386.50 and 9,867.40 is: 14,793.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,939.48 : 46,386.50 = 9,867.40 : x
  2. Step 2: Convert to fraction form
    30,939.48/46,386.50 = 9,867.40/x
  3. Step 3: Cross multiply
    30,939.48x = 46,386.50 × 9,867.40
  4. Step 4: Simplify right side
    30,939.48x = 457,714,150.10
  5. Step 5: Solve for x
    x = 457,714,150.10/30,939.48
  6. Step 6: Final answer
    x = 14,793.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.