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Finding the Fourth Proportional to 30,024.68, 45,037.02 and 9,248

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Solution

The fourth proportional to 30,024.68, 45,037.02 and 9,248 is: 13,872

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,024.68 : 45,037.02 = 9,248 : x
  2. Step 2: Convert to fraction form
    30,024.68/45,037.02 = 9,248/x
  3. Step 3: Cross multiply
    30,024.68x = 45,037.02 × 9,248
  4. Step 4: Simplify right side
    30,024.68x = 416,502,360.96
  5. Step 5: Solve for x
    x = 416,502,360.96/30,024.68
  6. Step 6: Final answer
    x = 13,872

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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.