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Finding the Fourth Proportional to 42,834.34, 64,254 and 16,539.22

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Solution

The fourth proportional to 42,834.34, 64,254 and 16,539.22 is: 24,809.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,834.34 : 64,254 = 16,539.22 : x
  2. Step 2: Convert to fraction form
    42,834.34/64,254 = 16,539.22/x
  3. Step 3: Cross multiply
    42,834.34x = 64,254 × 16,539.22
  4. Step 4: Simplify right side
    42,834.34x = 1,062,711,041.88
  5. Step 5: Solve for x
    x = 1,062,711,041.88/42,834.34
  6. Step 6: Final answer
    x = 24,809.79

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