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Finding the Fourth Proportional to 51,142.08, 70,574.16 and 28,482

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Solution

The fourth proportional to 51,142.08, 70,574.16 and 28,482 is: 39,304.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,142.08 : 70,574.16 = 28,482 : x
  2. Step 2: Convert to fraction form
    51,142.08/70,574.16 = 28,482/x
  3. Step 3: Cross multiply
    51,142.08x = 70,574.16 × 28,482
  4. Step 4: Simplify right side
    51,142.08x = 2,010,093,225.12
  5. Step 5: Solve for x
    x = 2,010,093,225.12/51,142.08
  6. Step 6: Final answer
    x = 39,304.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.