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Finding the Fourth Proportional to 31,871.02, 47,806.12 and 14,328.45

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Solution

The fourth proportional to 31,871.02, 47,806.12 and 14,328.45 is: 21,492.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,871.02 : 47,806.12 = 14,328.45 : x
  2. Step 2: Convert to fraction form
    31,871.02/47,806.12 = 14,328.45/x
  3. Step 3: Cross multiply
    31,871.02x = 47,806.12 × 14,328.45
  4. Step 4: Simplify right side
    31,871.02x = 684,987,600.11
  5. Step 5: Solve for x
    x = 684,987,600.11/31,871.02
  6. Step 6: Final answer
    x = 21,492.49

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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.