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Finding the Fourth Proportional to 56,502.54, 77,796.18 and 47,986.74

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Solution

The fourth proportional to 56,502.54, 77,796.18 and 47,986.74 is: 66,071.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,502.54 : 77,796.18 = 47,986.74 : x
  2. Step 2: Convert to fraction form
    56,502.54/77,796.18 = 47,986.74/x
  3. Step 3: Cross multiply
    56,502.54x = 77,796.18 × 47,986.74
  4. Step 4: Simplify right side
    56,502.54x = 3,733,185,062.65
  5. Step 5: Solve for x
    x = 3,733,185,062.65/56,502.54
  6. Step 6: Final answer
    x = 66,071.10

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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.