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Finding the Fourth Proportional to 31,126.95, 46,655.51 and 12,402

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Solution

The fourth proportional to 31,126.95, 46,655.51 and 12,402 is: 18,589.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,126.95 : 46,655.51 = 12,402 : x
  2. Step 2: Convert to fraction form
    31,126.95/46,655.51 = 12,402/x
  3. Step 3: Cross multiply
    31,126.95x = 46,655.51 × 12,402
  4. Step 4: Simplify right side
    31,126.95x = 578,621,573.01
  5. Step 5: Solve for x
    x = 578,621,573.01/31,126.95
  6. Step 6: Final answer
    x = 18,589.09

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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.