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Finding the Fourth Proportional to 56,549.70, 84,827.34 and 21,492.06

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Solution

The fourth proportional to 56,549.70, 84,827.34 and 21,492.06 is: 32,239.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,549.70 : 84,827.34 = 21,492.06 : x
  2. Step 2: Convert to fraction form
    56,549.70/84,827.34 = 21,492.06/x
  3. Step 3: Cross multiply
    56,549.70x = 84,827.34 × 21,492.06
  4. Step 4: Simplify right side
    56,549.70x = 1,823,114,280.92
  5. Step 5: Solve for x
    x = 1,823,114,280.92/56,549.70
  6. Step 6: Final answer
    x = 32,239.15

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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.