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Finding the Fourth Proportional to 70,079.94, 105,133.75 and 25,707.10

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Solution

The fourth proportional to 70,079.94, 105,133.75 and 25,707.10 is: 38,565.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,079.94 : 105,133.75 = 25,707.10 : x
  2. Step 2: Convert to fraction form
    70,079.94/105,133.75 = 25,707.10/x
  3. Step 3: Cross multiply
    70,079.94x = 105,133.75 × 25,707.10
  4. Step 4: Simplify right side
    70,079.94x = 2,702,683,824.63
  5. Step 5: Solve for x
    x = 2,702,683,824.63/70,079.94
  6. Step 6: Final answer
    x = 38,565.73

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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.