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Finding the Fourth Proportional to 30,871.56, 46,314.66 and 10,095

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Solution

The fourth proportional to 30,871.56, 46,314.66 and 10,095 is: 15,144.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,871.56 : 46,314.66 = 10,095 : x
  2. Step 2: Convert to fraction form
    30,871.56/46,314.66 = 10,095/x
  3. Step 3: Cross multiply
    30,871.56x = 46,314.66 × 10,095
  4. Step 4: Simplify right side
    30,871.56x = 467,546,492.70
  5. Step 5: Solve for x
    x = 467,546,492.70/30,871.56
  6. Step 6: Final answer
    x = 15,144.89

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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.