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Finding the Fourth Proportional to 30,701.65, 46,073.62 and 10,711.25

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Solution

The fourth proportional to 30,701.65, 46,073.62 and 10,711.25 is: 16,074.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,701.65 : 46,073.62 = 10,711.25 : x
  2. Step 2: Convert to fraction form
    30,701.65/46,073.62 = 10,711.25/x
  3. Step 3: Cross multiply
    30,701.65x = 46,073.62 × 10,711.25
  4. Step 4: Simplify right side
    30,701.65x = 493,506,277.19
  5. Step 5: Solve for x
    x = 493,506,277.19/30,701.65
  6. Step 6: Final answer
    x = 16,074.26

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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.