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Finding the Fourth Proportional to 56,588.16, 84,862.16 and 16,596

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Solution

The fourth proportional to 56,588.16, 84,862.16 and 16,596 is: 24,888.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,588.16 : 84,862.16 = 16,596 : x
  2. Step 2: Convert to fraction form
    56,588.16/84,862.16 = 16,596/x
  3. Step 3: Cross multiply
    56,588.16x = 84,862.16 × 16,596
  4. Step 4: Simplify right side
    56,588.16x = 1,408,372,407.36
  5. Step 5: Solve for x
    x = 1,408,372,407.36/56,588.16
  6. Step 6: Final answer
    x = 24,888.11

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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.