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Finding the Fourth Proportional to 56,567.88, 77,989.38 and 47,016

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Solution

The fourth proportional to 56,567.88, 77,989.38 and 47,016 is: 64,820.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,567.88 : 77,989.38 = 47,016 : x
  2. Step 2: Convert to fraction form
    56,567.88/77,989.38 = 47,016/x
  3. Step 3: Cross multiply
    56,567.88x = 77,989.38 × 47,016
  4. Step 4: Simplify right side
    56,567.88x = 3,666,748,690.08
  5. Step 5: Solve for x
    x = 3,666,748,690.08/56,567.88
  6. Step 6: Final answer
    x = 64,820.33

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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.