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Finding the Fourth Proportional to 35,492.88, 48,971.24 and 20,586

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Solution

The fourth proportional to 35,492.88, 48,971.24 and 20,586 is: 28,403.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,492.88 : 48,971.24 = 20,586 : x
  2. Step 2: Convert to fraction form
    35,492.88/48,971.24 = 20,586/x
  3. Step 3: Cross multiply
    35,492.88x = 48,971.24 × 20,586
  4. Step 4: Simplify right side
    35,492.88x = 1,008,121,946.64
  5. Step 5: Solve for x
    x = 1,008,121,946.64/35,492.88
  6. Step 6: Final answer
    x = 28,403.50

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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.