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Finding the Fourth Proportional to 37,970.96, 52,404.44 and 27,902.84

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Solution

The fourth proportional to 37,970.96, 52,404.44 and 27,902.84 is: 38,509.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,970.96 : 52,404.44 = 27,902.84 : x
  2. Step 2: Convert to fraction form
    37,970.96/52,404.44 = 27,902.84/x
  3. Step 3: Cross multiply
    37,970.96x = 52,404.44 × 27,902.84
  4. Step 4: Simplify right side
    37,970.96x = 1,462,232,303.07
  5. Step 5: Solve for x
    x = 1,462,232,303.07/37,970.96
  6. Step 6: Final answer
    x = 38,509.23

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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.