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Finding the Fourth Proportional to 42,699.50, 64,041.98 and 11,527.46

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Solution

The fourth proportional to 42,699.50, 64,041.98 and 11,527.46 is: 17,289.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,699.50 : 64,041.98 = 11,527.46 : x
  2. Step 2: Convert to fraction form
    42,699.50/64,041.98 = 11,527.46/x
  3. Step 3: Cross multiply
    42,699.50x = 64,041.98 × 11,527.46
  4. Step 4: Simplify right side
    42,699.50x = 738,241,071.38
  5. Step 5: Solve for x
    x = 738,241,071.38/42,699.50
  6. Step 6: Final answer
    x = 17,289.22

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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.