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Finding the Fourth Proportional to 30,196, 45,302.03 and 10,474.53

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Solution

The fourth proportional to 30,196, 45,302.03 and 10,474.53 is: 15,714.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,196 : 45,302.03 = 10,474.53 : x
  2. Step 2: Convert to fraction form
    30,196/45,302.03 = 10,474.53/x
  3. Step 3: Cross multiply
    30,196x = 45,302.03 × 10,474.53
  4. Step 4: Simplify right side
    30,196x = 474,517,472.30
  5. Step 5: Solve for x
    x = 474,517,472.30/30,196
  6. Step 6: Final answer
    x = 15,714.58

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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.