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Finding the Fourth Proportional to 30,531.34, 45,803.58 and 9,470.96

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Solution

The fourth proportional to 30,531.34, 45,803.58 and 9,470.96 is: 14,208.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,531.34 : 45,803.58 = 9,470.96 : x
  2. Step 2: Convert to fraction form
    30,531.34/45,803.58 = 9,470.96/x
  3. Step 3: Cross multiply
    30,531.34x = 45,803.58 × 9,470.96
  4. Step 4: Simplify right side
    30,531.34x = 433,803,874.04
  5. Step 5: Solve for x
    x = 433,803,874.04/30,531.34
  6. Step 6: Final answer
    x = 14,208.48

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1.5x scale

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.