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Finding the Fourth Proportional to 70,293.81, 105,308.28 and 34,713.48

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Solution

The fourth proportional to 70,293.81, 105,308.28 and 34,713.48 is: 52,004.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,293.81 : 105,308.28 = 34,713.48 : x
  2. Step 2: Convert to fraction form
    70,293.81/105,308.28 = 34,713.48/x
  3. Step 3: Cross multiply
    70,293.81x = 105,308.28 × 34,713.48
  4. Step 4: Simplify right side
    70,293.81x = 3,655,616,574.34
  5. Step 5: Solve for x
    x = 3,655,616,574.34/70,293.81
  6. Step 6: Final answer
    x = 52,004.82

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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.