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Finding the Fourth Proportional to 37,985.40, 56,978.10 and 13,022.10

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Solution

The fourth proportional to 37,985.40, 56,978.10 and 13,022.10 is: 19,533.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,985.40 : 56,978.10 = 13,022.10 : x
  2. Step 2: Convert to fraction form
    37,985.40/56,978.10 = 13,022.10/x
  3. Step 3: Cross multiply
    37,985.40x = 56,978.10 × 13,022.10
  4. Step 4: Simplify right side
    37,985.40x = 741,974,516.01
  5. Step 5: Solve for x
    x = 741,974,516.01/37,985.40
  6. Step 6: Final answer
    x = 19,533.15

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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.