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Finding the Fourth Proportional to 56,577.51, 78,090.99 and 32,718

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Solution

The fourth proportional to 56,577.51, 78,090.99 and 32,718 is: 45,158.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,577.51 : 78,090.99 = 32,718 : x
  2. Step 2: Convert to fraction form
    56,577.51/78,090.99 = 32,718/x
  3. Step 3: Cross multiply
    56,577.51x = 78,090.99 × 32,718
  4. Step 4: Simplify right side
    56,577.51x = 2,554,981,010.82
  5. Step 5: Solve for x
    x = 2,554,981,010.82/56,577.51
  6. Step 6: Final answer
    x = 45,158.95

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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.