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Finding the Fourth Proportional to 83,232, 114,862.24 and 50,526.80

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Solution

The fourth proportional to 83,232, 114,862.24 and 50,526.80 is: 69,728.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,232 : 114,862.24 = 50,526.80 : x
  2. Step 2: Convert to fraction form
    83,232/114,862.24 = 50,526.80/x
  3. Step 3: Cross multiply
    83,232x = 114,862.24 × 50,526.80
  4. Step 4: Simplify right side
    83,232x = 5,803,621,428.03
  5. Step 5: Solve for x
    x = 5,803,621,428.03/83,232
  6. Step 6: Final answer
    x = 69,728.25

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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.