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Finding the Fourth Proportional to 70,903.36, 97,842.24 and 39,070.48

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Solution

The fourth proportional to 70,903.36, 97,842.24 and 39,070.48 is: 53,914.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,903.36 : 97,842.24 = 39,070.48 : x
  2. Step 2: Convert to fraction form
    70,903.36/97,842.24 = 39,070.48/x
  3. Step 3: Cross multiply
    70,903.36x = 97,842.24 × 39,070.48
  4. Step 4: Simplify right side
    70,903.36x = 3,822,743,281.08
  5. Step 5: Solve for x
    x = 3,822,743,281.08/70,903.36
  6. Step 6: Final answer
    x = 53,914.84

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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.