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Finding the Fourth Proportional to 70,096.94, 105,082.88 and 25,713.32

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Solution

The fourth proportional to 70,096.94, 105,082.88 and 25,713.32 is: 38,547.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,096.94 : 105,082.88 = 25,713.32 : x
  2. Step 2: Convert to fraction form
    70,096.94/105,082.88 = 25,713.32/x
  3. Step 3: Cross multiply
    70,096.94x = 105,082.88 × 25,713.32
  4. Step 4: Simplify right side
    70,096.94x = 2,702,029,719.96
  5. Step 5: Solve for x
    x = 2,702,029,719.96/70,096.94
  6. Step 6: Final answer
    x = 38,547.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.