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Finding the Fourth Proportional to 55,436.16, 83,082.24 and 42,240

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Solution

The fourth proportional to 55,436.16, 83,082.24 and 42,240 is: 63,305.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,436.16 : 83,082.24 = 42,240 : x
  2. Step 2: Convert to fraction form
    55,436.16/83,082.24 = 42,240/x
  3. Step 3: Cross multiply
    55,436.16x = 83,082.24 × 42,240
  4. Step 4: Simplify right side
    55,436.16x = 3,509,393,817.60
  5. Step 5: Solve for x
    x = 3,509,393,817.60/55,436.16
  6. Step 6: Final answer
    x = 63,305.14

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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.