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Finding the Fourth Proportional to 30,065.13, 41,464.71 and 22,529.16

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Solution

The fourth proportional to 30,065.13, 41,464.71 and 22,529.16 is: 31,071.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,065.13 : 41,464.71 = 22,529.16 : x
  2. Step 2: Convert to fraction form
    30,065.13/41,464.71 = 22,529.16/x
  3. Step 3: Cross multiply
    30,065.13x = 41,464.71 × 22,529.16
  4. Step 4: Simplify right side
    30,065.13x = 934,165,085.94
  5. Step 5: Solve for x
    x = 934,165,085.94/30,065.13
  6. Step 6: Final answer
    x = 31,071.38

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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.