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Finding the Fourth Proportional to 37,701.46, 56,553 and 11,406.16

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Solution

The fourth proportional to 37,701.46, 56,553 and 11,406.16 is: 17,109.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,701.46 : 56,553 = 11,406.16 : x
  2. Step 2: Convert to fraction form
    37,701.46/56,553 = 11,406.16/x
  3. Step 3: Cross multiply
    37,701.46x = 56,553 × 11,406.16
  4. Step 4: Simplify right side
    37,701.46x = 645,052,566.48
  5. Step 5: Solve for x
    x = 645,052,566.48/37,701.46
  6. Step 6: Final answer
    x = 17,109.49

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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.