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Finding the Fourth Proportional to 30,531.45, 45,803.71 and 9,471.04

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Solution

The fourth proportional to 30,531.45, 45,803.71 and 9,471.04 is: 14,208.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,531.45 : 45,803.71 = 9,471.04 : x
  2. Step 2: Convert to fraction form
    30,531.45/45,803.71 = 9,471.04/x
  3. Step 3: Cross multiply
    30,531.45x = 45,803.71 × 9,471.04
  4. Step 4: Simplify right side
    30,531.45x = 433,808,564.22
  5. Step 5: Solve for x
    x = 433,808,564.22/30,531.45
  6. Step 6: Final answer
    x = 14,208.58

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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.