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Finding the Fourth Proportional to 34,057, 51,049.14 and 16,488.28

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Solution

The fourth proportional to 34,057, 51,049.14 and 16,488.28 is: 24,714.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,057 : 51,049.14 = 16,488.28 : x
  2. Step 2: Convert to fraction form
    34,057/51,049.14 = 16,488.28/x
  3. Step 3: Cross multiply
    34,057x = 51,049.14 × 16,488.28
  4. Step 4: Simplify right side
    34,057x = 841,712,514.08
  5. Step 5: Solve for x
    x = 841,712,514.08/34,057
  6. Step 6: Final answer
    x = 24,714.82

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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.