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Finding the Fourth Proportional to 70,475.40, 105,614.16 and 32,946.48

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Solution

The fourth proportional to 70,475.40, 105,614.16 and 32,946.48 is: 49,373.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,475.40 : 105,614.16 = 32,946.48 : x
  2. Step 2: Convert to fraction form
    70,475.40/105,614.16 = 32,946.48/x
  3. Step 3: Cross multiply
    70,475.40x = 105,614.16 × 32,946.48
  4. Step 4: Simplify right side
    70,475.40x = 3,479,614,810.16
  5. Step 5: Solve for x
    x = 3,479,614,810.16/70,475.40
  6. Step 6: Final answer
    x = 49,373.47

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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.