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Finding the Fourth Proportional to 70,105.71, 105,071.09 and 35,055.39

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Solution

The fourth proportional to 70,105.71, 105,071.09 and 35,055.39 is: 52,539.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,105.71 : 105,071.09 = 35,055.39 : x
  2. Step 2: Convert to fraction form
    70,105.71/105,071.09 = 35,055.39/x
  3. Step 3: Cross multiply
    70,105.71x = 105,071.09 × 35,055.39
  4. Step 4: Simplify right side
    70,105.71x = 3,683,307,862.40
  5. Step 5: Solve for x
    x = 3,683,307,862.40/70,105.71
  6. Step 6: Final answer
    x = 52,539.34

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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.