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Finding the Fourth Proportional to 37,808.64, 56,710.08 and 15,616

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Solution

The fourth proportional to 37,808.64, 56,710.08 and 15,616 is: 23,422.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,808.64 : 56,710.08 = 15,616 : x
  2. Step 2: Convert to fraction form
    37,808.64/56,710.08 = 15,616/x
  3. Step 3: Cross multiply
    37,808.64x = 56,710.08 × 15,616
  4. Step 4: Simplify right side
    37,808.64x = 885,584,609.28
  5. Step 5: Solve for x
    x = 885,584,609.28/37,808.64
  6. Step 6: Final answer
    x = 23,422.81

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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.