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Finding the Fourth Proportional to 31,204.95, 46,798.17 and 9,018.52

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Solution

The fourth proportional to 31,204.95, 46,798.17 and 9,018.52 is: 13,525.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,204.95 : 46,798.17 = 9,018.52 : x
  2. Step 2: Convert to fraction form
    31,204.95/46,798.17 = 9,018.52/x
  3. Step 3: Cross multiply
    31,204.95x = 46,798.17 × 9,018.52
  4. Step 4: Simplify right side
    31,204.95x = 422,050,232.11
  5. Step 5: Solve for x
    x = 422,050,232.11/31,204.95
  6. Step 6: Final answer
    x = 13,525.11

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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.