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Finding the Fourth Proportional to 45,782, 63,176.02 and 25,363.36

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Solution

The fourth proportional to 45,782, 63,176.02 and 25,363.36 is: 34,999.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,782 : 63,176.02 = 25,363.36 : x
  2. Step 2: Convert to fraction form
    45,782/63,176.02 = 25,363.36/x
  3. Step 3: Cross multiply
    45,782x = 63,176.02 × 25,363.36
  4. Step 4: Simplify right side
    45,782x = 1,602,356,138.63
  5. Step 5: Solve for x
    x = 1,602,356,138.63/45,782
  6. Step 6: Final answer
    x = 34,999.70

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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.