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Finding the Fourth Proportional to 81,762.56, 112,827.18 and 45,952.06

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Solution

The fourth proportional to 81,762.56, 112,827.18 and 45,952.06 is: 63,410.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,762.56 : 112,827.18 = 45,952.06 : x
  2. Step 2: Convert to fraction form
    81,762.56/112,827.18 = 45,952.06/x
  3. Step 3: Cross multiply
    81,762.56x = 112,827.18 × 45,952.06
  4. Step 4: Simplify right side
    81,762.56x = 5,184,641,344.99
  5. Step 5: Solve for x
    x = 5,184,641,344.99/81,762.56
  6. Step 6: Final answer
    x = 63,410.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.