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Finding the Fourth Proportional to 46,944, 64,782.72 and 25,724.07

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Solution

The fourth proportional to 46,944, 64,782.72 and 25,724.07 is: 35,499.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,944 : 64,782.72 = 25,724.07 : x
  2. Step 2: Convert to fraction form
    46,944/64,782.72 = 25,724.07/x
  3. Step 3: Cross multiply
    46,944x = 64,782.72 × 25,724.07
  4. Step 4: Simplify right side
    46,944x = 1,666,475,224.07
  5. Step 5: Solve for x
    x = 1,666,475,224.07/46,944
  6. Step 6: Final answer
    x = 35,499.22

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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.