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Finding the Fourth Proportional to 30,478.50, 42,059.16 and 17,051.00

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Solution

The fourth proportional to 30,478.50, 42,059.16 and 17,051.00 is: 23,529.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,478.50 : 42,059.16 = 17,051.00 : x
  2. Step 2: Convert to fraction form
    30,478.50/42,059.16 = 17,051.00/x
  3. Step 3: Cross multiply
    30,478.50x = 42,059.16 × 17,051.00
  4. Step 4: Simplify right side
    30,478.50x = 717,150,526.86
  5. Step 5: Solve for x
    x = 717,150,526.86/30,478.50
  6. Step 6: Final answer
    x = 23,529.72

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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.