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Finding the Fourth Proportional to 37,802.70, 52,145.78 and 22,686.68

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Solution

The fourth proportional to 37,802.70, 52,145.78 and 22,686.68 is: 31,294.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,802.70 : 52,145.78 = 22,686.68 : x
  2. Step 2: Convert to fraction form
    37,802.70/52,145.78 = 22,686.68/x
  3. Step 3: Cross multiply
    37,802.70x = 52,145.78 × 22,686.68
  4. Step 4: Simplify right side
    37,802.70x = 1,183,014,641.14
  5. Step 5: Solve for x
    x = 1,183,014,641.14/37,802.70
  6. Step 6: Final answer
    x = 31,294.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.