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Finding the Fourth Proportional to 35,643.32, 49,077.99 and 31,657.51

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Solution

The fourth proportional to 35,643.32, 49,077.99 and 31,657.51 is: 43,589.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,643.32 : 49,077.99 = 31,657.51 : x
  2. Step 2: Convert to fraction form
    35,643.32/49,077.99 = 31,657.51/x
  3. Step 3: Cross multiply
    35,643.32x = 49,077.99 × 31,657.51
  4. Step 4: Simplify right side
    35,643.32x = 1,553,686,838.00
  5. Step 5: Solve for x
    x = 1,553,686,838.00/35,643.32
  6. Step 6: Final answer
    x = 43,589.85

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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.