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Finding the Fourth Proportional to 31,300.58, 46,962.87 and 12,586

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Solution

The fourth proportional to 31,300.58, 46,962.87 and 12,586 is: 18,883.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,300.58 : 46,962.87 = 12,586 : x
  2. Step 2: Convert to fraction form
    31,300.58/46,962.87 = 12,586/x
  3. Step 3: Cross multiply
    31,300.58x = 46,962.87 × 12,586
  4. Step 4: Simplify right side
    31,300.58x = 591,074,681.82
  5. Step 5: Solve for x
    x = 591,074,681.82/31,300.58
  6. Step 6: Final answer
    x = 18,883.83

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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.