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Finding the Fourth Proportional to 31,054.35, 46,580.98 and 7,680.79

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Solution

The fourth proportional to 31,054.35, 46,580.98 and 7,680.79 is: 11,521.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,054.35 : 46,580.98 = 7,680.79 : x
  2. Step 2: Convert to fraction form
    31,054.35/46,580.98 = 7,680.79/x
  3. Step 3: Cross multiply
    31,054.35x = 46,580.98 × 7,680.79
  4. Step 4: Simplify right side
    31,054.35x = 357,778,492.47
  5. Step 5: Solve for x
    x = 357,778,492.47/31,054.35
  6. Step 6: Final answer
    x = 11,521.04

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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.