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Finding the Fourth Proportional to 31,402.99, 47,111.42 and 10,349.53

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Solution

The fourth proportional to 31,402.99, 47,111.42 and 10,349.53 is: 15,526.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,402.99 : 47,111.42 = 10,349.53 : x
  2. Step 2: Convert to fraction form
    31,402.99/47,111.42 = 10,349.53/x
  3. Step 3: Cross multiply
    31,402.99x = 47,111.42 × 10,349.53
  4. Step 4: Simplify right side
    31,402.99x = 487,581,054.63
  5. Step 5: Solve for x
    x = 487,581,054.63/31,402.99
  6. Step 6: Final answer
    x = 15,526.58

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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.