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Finding the Fourth Proportional to 77,410, 106,827.04 and 43,426.06

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Solution

The fourth proportional to 77,410, 106,827.04 and 43,426.06 is: 59,928.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,410 : 106,827.04 = 43,426.06 : x
  2. Step 2: Convert to fraction form
    77,410/106,827.04 = 43,426.06/x
  3. Step 3: Cross multiply
    77,410x = 106,827.04 × 43,426.06
  4. Step 4: Simplify right side
    77,410x = 4,639,077,448.66
  5. Step 5: Solve for x
    x = 4,639,077,448.66/77,410
  6. Step 6: Final answer
    x = 59,928.66

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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.