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Finding the Fourth Proportional to 31,008.40, 46,415.40 and 22,260.40

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Solution

The fourth proportional to 31,008.40, 46,415.40 and 22,260.40 is: 33,320.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,008.40 : 46,415.40 = 22,260.40 : x
  2. Step 2: Convert to fraction form
    31,008.40/46,415.40 = 22,260.40/x
  3. Step 3: Cross multiply
    31,008.40x = 46,415.40 × 22,260.40
  4. Step 4: Simplify right side
    31,008.40x = 1,033,225,370.16
  5. Step 5: Solve for x
    x = 1,033,225,370.16/31,008.40
  6. Step 6: Final answer
    x = 33,320.82

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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.