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Finding the Fourth Proportional to 56,853.66, 78,463.42 and 32,658

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Solution

The fourth proportional to 56,853.66, 78,463.42 and 32,658 is: 45,071.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,853.66 : 78,463.42 = 32,658 : x
  2. Step 2: Convert to fraction form
    56,853.66/78,463.42 = 32,658/x
  3. Step 3: Cross multiply
    56,853.66x = 78,463.42 × 32,658
  4. Step 4: Simplify right side
    56,853.66x = 2,562,458,370.36
  5. Step 5: Solve for x
    x = 2,562,458,370.36/56,853.66
  6. Step 6: Final answer
    x = 45,071.12

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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.