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Finding the Fourth Proportional to 31,257.74, 46,894.26 and 9,070.64

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Solution

The fourth proportional to 31,257.74, 46,894.26 and 9,070.64 is: 13,608.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,257.74 : 46,894.26 = 9,070.64 : x
  2. Step 2: Convert to fraction form
    31,257.74/46,894.26 = 9,070.64/x
  3. Step 3: Cross multiply
    31,257.74x = 46,894.26 × 9,070.64
  4. Step 4: Simplify right side
    31,257.74x = 425,360,950.53
  5. Step 5: Solve for x
    x = 425,360,950.53/31,257.74
  6. Step 6: Final answer
    x = 13,608.18

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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.