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Finding the Fourth Proportional to 56,566.94, 78,057.81 and 32,695.16

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Solution

The fourth proportional to 56,566.94, 78,057.81 and 32,695.16 is: 45,116.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,566.94 : 78,057.81 = 32,695.16 : x
  2. Step 2: Convert to fraction form
    56,566.94/78,057.81 = 32,695.16/x
  3. Step 3: Cross multiply
    56,566.94x = 78,057.81 × 32,695.16
  4. Step 4: Simplify right side
    56,566.94x = 2,552,112,587.20
  5. Step 5: Solve for x
    x = 2,552,112,587.20/56,566.94
  6. Step 6: Final answer
    x = 45,116.68

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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.