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Finding the Fourth Proportional to 37,970.88, 52,400.16 and 22,056

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Solution

The fourth proportional to 37,970.88, 52,400.16 and 22,056 is: 30,437.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,970.88 : 52,400.16 = 22,056 : x
  2. Step 2: Convert to fraction form
    37,970.88/52,400.16 = 22,056/x
  3. Step 3: Cross multiply
    37,970.88x = 52,400.16 × 22,056
  4. Step 4: Simplify right side
    37,970.88x = 1,155,737,928.96
  5. Step 5: Solve for x
    x = 1,155,737,928.96/37,970.88
  6. Step 6: Final answer
    x = 30,437.48

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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.