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Finding the Fourth Proportional to 76,656.66, 105,695.69 and 52,469.26

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Solution

The fourth proportional to 76,656.66, 105,695.69 and 52,469.26 is: 72,345.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,656.66 : 105,695.69 = 52,469.26 : x
  2. Step 2: Convert to fraction form
    76,656.66/105,695.69 = 52,469.26/x
  3. Step 3: Cross multiply
    76,656.66x = 105,695.69 × 52,469.26
  4. Step 4: Simplify right side
    76,656.66x = 5,545,774,639.49
  5. Step 5: Solve for x
    x = 5,545,774,639.49/76,656.66
  6. Step 6: Final answer
    x = 72,345.63

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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.