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Finding the Fourth Proportional to 56,883.90, 85,328.01 and 21,827.10

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Solution

The fourth proportional to 56,883.90, 85,328.01 and 21,827.10 is: 32,741.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,883.90 : 85,328.01 = 21,827.10 : x
  2. Step 2: Convert to fraction form
    56,883.90/85,328.01 = 21,827.10/x
  3. Step 3: Cross multiply
    56,883.90x = 85,328.01 × 21,827.10
  4. Step 4: Simplify right side
    56,883.90x = 1,862,463,007.07
  5. Step 5: Solve for x
    x = 1,862,463,007.07/56,883.90
  6. Step 6: Final answer
    x = 32,741.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.