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Finding the Fourth Proportional to 30,530.49, 45,802.32 and 9,470.12

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Solution

The fourth proportional to 30,530.49, 45,802.32 and 9,470.12 is: 14,207.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,530.49 : 45,802.32 = 9,470.12 : x
  2. Step 2: Convert to fraction form
    30,530.49/45,802.32 = 9,470.12/x
  3. Step 3: Cross multiply
    30,530.49x = 45,802.32 × 9,470.12
  4. Step 4: Simplify right side
    30,530.49x = 433,753,466.68
  5. Step 5: Solve for x
    x = 433,753,466.68/30,530.49
  6. Step 6: Final answer
    x = 14,207.22

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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.