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Finding the Fourth Proportional to 30,648.48, 46,005.12 and 15,077.04

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Solution

The fourth proportional to 30,648.48, 46,005.12 and 15,077.04 is: 22,631.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,648.48 : 46,005.12 = 15,077.04 : x
  2. Step 2: Convert to fraction form
    30,648.48/46,005.12 = 15,077.04/x
  3. Step 3: Cross multiply
    30,648.48x = 46,005.12 × 15,077.04
  4. Step 4: Simplify right side
    30,648.48x = 693,621,034.44
  5. Step 5: Solve for x
    x = 693,621,034.44/30,648.48
  6. Step 6: Final answer
    x = 22,631.50

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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.