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Finding the Fourth Proportional to 31,210.80, 46,822.28 and 9,024.90

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Solution

The fourth proportional to 31,210.80, 46,822.28 and 9,024.90 is: 13,539.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,210.80 : 46,822.28 = 9,024.90 : x
  2. Step 2: Convert to fraction form
    31,210.80/46,822.28 = 9,024.90/x
  3. Step 3: Cross multiply
    31,210.80x = 46,822.28 × 9,024.90
  4. Step 4: Simplify right side
    31,210.80x = 422,566,349.65
  5. Step 5: Solve for x
    x = 422,566,349.65/31,210.80
  6. Step 6: Final answer
    x = 13,539.11

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Why These Related Problems?

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