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Finding the Fourth Proportional to 69,774.84, 96,288.60 and 37,944

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Solution

The fourth proportional to 69,774.84, 96,288.60 and 37,944 is: 52,362.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,774.84 : 96,288.60 = 37,944 : x
  2. Step 2: Convert to fraction form
    69,774.84/96,288.60 = 37,944/x
  3. Step 3: Cross multiply
    69,774.84x = 96,288.60 × 37,944
  4. Step 4: Simplify right side
    69,774.84x = 3,653,574,638.40
  5. Step 5: Solve for x
    x = 3,653,574,638.40/69,774.84
  6. Step 6: Final answer
    x = 52,362.35

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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.