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Finding the Fourth Proportional to 34,730.16, 47,931.48 and 19,826.16

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Solution

The fourth proportional to 34,730.16, 47,931.48 and 19,826.16 is: 27,362.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,730.16 : 47,931.48 = 19,826.16 : x
  2. Step 2: Convert to fraction form
    34,730.16/47,931.48 = 19,826.16/x
  3. Step 3: Cross multiply
    34,730.16x = 47,931.48 × 19,826.16
  4. Step 4: Simplify right side
    34,730.16x = 950,297,191.52
  5. Step 5: Solve for x
    x = 950,297,191.52/34,730.16
  6. Step 6: Final answer
    x = 27,362.30

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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.