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Finding the Fourth Proportional to 30,496.62, 45,714.25 and 14,678.54

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Solution

The fourth proportional to 30,496.62, 45,714.25 and 14,678.54 is: 22,003.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,496.62 : 45,714.25 = 14,678.54 : x
  2. Step 2: Convert to fraction form
    30,496.62/45,714.25 = 14,678.54/x
  3. Step 3: Cross multiply
    30,496.62x = 45,714.25 × 14,678.54
  4. Step 4: Simplify right side
    30,496.62x = 671,018,447.20
  5. Step 5: Solve for x
    x = 671,018,447.20/30,496.62
  6. Step 6: Final answer
    x = 22,003.04

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1.5x scale

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.