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Finding the Fourth Proportional to 30,478.50, 42,064.80 and 18,539.53

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Solution

The fourth proportional to 30,478.50, 42,064.80 and 18,539.53 is: 25,587.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,478.50 : 42,064.80 = 18,539.53 : x
  2. Step 2: Convert to fraction form
    30,478.50/42,064.80 = 18,539.53/x
  3. Step 3: Cross multiply
    30,478.50x = 42,064.80 × 18,539.53
  4. Step 4: Simplify right side
    30,478.50x = 779,861,621.54
  5. Step 5: Solve for x
    x = 779,861,621.54/30,478.50
  6. Step 6: Final answer
    x = 25,587.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.