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Finding the Fourth Proportional to 106,354.76, 159,526.38 and 32,477

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Solution

The fourth proportional to 106,354.76, 159,526.38 and 32,477 is: 48,713.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,354.76 : 159,526.38 = 32,477 : x
  2. Step 2: Convert to fraction form
    106,354.76/159,526.38 = 32,477/x
  3. Step 3: Cross multiply
    106,354.76x = 159,526.38 × 32,477
  4. Step 4: Simplify right side
    106,354.76x = 5,180,938,243.26
  5. Step 5: Solve for x
    x = 5,180,938,243.26/106,354.76
  6. Step 6: Final answer
    x = 48,713.74

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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.