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Finding the Fourth Proportional to 45,769, 63,162.18 and 25,897

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Solution

The fourth proportional to 45,769, 63,162.18 and 25,897 is: 35,738.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,769 : 63,162.18 = 25,897 : x
  2. Step 2: Convert to fraction form
    45,769/63,162.18 = 25,897/x
  3. Step 3: Cross multiply
    45,769x = 63,162.18 × 25,897
  4. Step 4: Simplify right side
    45,769x = 1,635,710,975.46
  5. Step 5: Solve for x
    x = 1,635,710,975.46/45,769
  6. Step 6: Final answer
    x = 35,738.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.