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Finding the Fourth Proportional to 35,856.16, 49,482.72 and 19,724.16

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Solution

The fourth proportional to 35,856.16, 49,482.72 and 19,724.16 is: 27,220.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,856.16 : 49,482.72 = 19,724.16 : x
  2. Step 2: Convert to fraction form
    35,856.16/49,482.72 = 19,724.16/x
  3. Step 3: Cross multiply
    35,856.16x = 49,482.72 × 19,724.16
  4. Step 4: Simplify right side
    35,856.16x = 976,004,839.10
  5. Step 5: Solve for x
    x = 976,004,839.10/35,856.16
  6. Step 6: Final answer
    x = 27,220.00

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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.