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Finding the Fourth Proportional to 30,531.24, 45,803.45 and 9,470.87

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Solution

The fourth proportional to 30,531.24, 45,803.45 and 9,470.87 is: 14,208.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,531.24 : 45,803.45 = 9,470.87 : x
  2. Step 2: Convert to fraction form
    30,531.24/45,803.45 = 9,470.87/x
  3. Step 3: Cross multiply
    30,531.24x = 45,803.45 × 9,470.87
  4. Step 4: Simplify right side
    30,531.24x = 433,798,520.50
  5. Step 5: Solve for x
    x = 433,798,520.50/30,531.24
  6. Step 6: Final answer
    x = 14,208.35

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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.