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Finding the Fourth Proportional to 45,038, 62,152.44 and 25,166

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Solution

The fourth proportional to 45,038, 62,152.44 and 25,166 is: 34,729.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,038 : 62,152.44 = 25,166 : x
  2. Step 2: Convert to fraction form
    45,038/62,152.44 = 25,166/x
  3. Step 3: Cross multiply
    45,038x = 62,152.44 × 25,166
  4. Step 4: Simplify right side
    45,038x = 1,564,128,305.04
  5. Step 5: Solve for x
    x = 1,564,128,305.04/45,038
  6. Step 6: Final answer
    x = 34,729.08

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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.