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Finding the Fourth Proportional to 70,508.40, 105,715.29 and 27,774.76

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Solution

The fourth proportional to 70,508.40, 105,715.29 and 27,774.76 is: 41,643.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,508.40 : 105,715.29 = 27,774.76 : x
  2. Step 2: Convert to fraction form
    70,508.40/105,715.29 = 27,774.76/x
  3. Step 3: Cross multiply
    70,508.40x = 105,715.29 × 27,774.76
  4. Step 4: Simplify right side
    70,508.40x = 2,936,216,808.08
  5. Step 5: Solve for x
    x = 2,936,216,808.08/70,508.40
  6. Step 6: Final answer
    x = 41,643.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.