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Finding the Fourth Proportional to 42,297.34, 58,343.92 and 27,209.67

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Solution

The fourth proportional to 42,297.34, 58,343.92 and 27,209.67 is: 37,532.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,297.34 : 58,343.92 = 27,209.67 : x
  2. Step 2: Convert to fraction form
    42,297.34/58,343.92 = 27,209.67/x
  3. Step 3: Cross multiply
    42,297.34x = 58,343.92 × 27,209.67
  4. Step 4: Simplify right side
    42,297.34x = 1,587,518,809.71
  5. Step 5: Solve for x
    x = 1,587,518,809.71/42,297.34
  6. Step 6: Final answer
    x = 37,532.36

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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.