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Finding the Fourth Proportional to 45,141, 62,294.64 and 25,269

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Solution

The fourth proportional to 45,141, 62,294.64 and 25,269 is: 34,871.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,141 : 62,294.64 = 25,269 : x
  2. Step 2: Convert to fraction form
    45,141/62,294.64 = 25,269/x
  3. Step 3: Cross multiply
    45,141x = 62,294.64 × 25,269
  4. Step 4: Simplify right side
    45,141x = 1,574,123,258.16
  5. Step 5: Solve for x
    x = 1,574,123,258.16/45,141
  6. Step 6: Final answer
    x = 34,871.25

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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.