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Finding the Fourth Proportional to 70,296.71, 97,011.03 and 38,465.60

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Solution

The fourth proportional to 70,296.71, 97,011.03 and 38,465.60 is: 53,083.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,296.71 : 97,011.03 = 38,465.60 : x
  2. Step 2: Convert to fraction form
    70,296.71/97,011.03 = 38,465.60/x
  3. Step 3: Cross multiply
    70,296.71x = 97,011.03 × 38,465.60
  4. Step 4: Simplify right side
    70,296.71x = 3,731,587,475.57
  5. Step 5: Solve for x
    x = 3,731,587,475.57/70,296.71
  6. Step 6: Final answer
    x = 53,083.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.