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Finding the Fourth Proportional to 75,652.34, 113,496.75 and 23,058.63

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Solution

The fourth proportional to 75,652.34, 113,496.75 and 23,058.63 is: 34,593.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,652.34 : 113,496.75 = 23,058.63 : x
  2. Step 2: Convert to fraction form
    75,652.34/113,496.75 = 23,058.63/x
  3. Step 3: Cross multiply
    75,652.34x = 113,496.75 × 23,058.63
  4. Step 4: Simplify right side
    75,652.34x = 2,617,079,564.45
  5. Step 5: Solve for x
    x = 2,617,079,564.45/75,652.34
  6. Step 6: Final answer
    x = 34,593.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.