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Finding the Fourth Proportional to 35,135.65, 52,706.19 and 10,176.07

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Solution

The fourth proportional to 35,135.65, 52,706.19 and 10,176.07 is: 15,264.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,135.65 : 52,706.19 = 10,176.07 : x
  2. Step 2: Convert to fraction form
    35,135.65/52,706.19 = 10,176.07/x
  3. Step 3: Cross multiply
    35,135.65x = 52,706.19 × 10,176.07
  4. Step 4: Simplify right side
    35,135.65x = 536,341,878.87
  5. Step 5: Solve for x
    x = 536,341,878.87/35,135.65
  6. Step 6: Final answer
    x = 15,264.89

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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.