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Finding the Fourth Proportional to 31,492.78, 47,228.16 and 9,300.26

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Solution

The fourth proportional to 31,492.78, 47,228.16 and 9,300.26 is: 13,947.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,492.78 : 47,228.16 = 9,300.26 : x
  2. Step 2: Convert to fraction form
    31,492.78/47,228.16 = 9,300.26/x
  3. Step 3: Cross multiply
    31,492.78x = 47,228.16 × 9,300.26
  4. Step 4: Simplify right side
    31,492.78x = 439,234,167.32
  5. Step 5: Solve for x
    x = 439,234,167.32/31,492.78
  6. Step 6: Final answer
    x = 13,947.14

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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.