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Finding the Fourth Proportional to 30,530.97, 45,803.02 and 9,470.58

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Solution

The fourth proportional to 30,530.97, 45,803.02 and 9,470.58 is: 14,207.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,530.97 : 45,803.02 = 9,470.58 : x
  2. Step 2: Convert to fraction form
    30,530.97/45,803.02 = 9,470.58/x
  3. Step 3: Cross multiply
    30,530.97x = 45,803.02 × 9,470.58
  4. Step 4: Simplify right side
    30,530.97x = 433,781,165.15
  5. Step 5: Solve for x
    x = 433,781,165.15/30,530.97
  6. Step 6: Final answer
    x = 14,207.91

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