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Finding the Fourth Proportional to 70,575.36, 97,394.10 and 38,309.96

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Solution

The fourth proportional to 70,575.36, 97,394.10 and 38,309.96 is: 52,867.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,575.36 : 97,394.10 = 38,309.96 : x
  2. Step 2: Convert to fraction form
    70,575.36/97,394.10 = 38,309.96/x
  3. Step 3: Cross multiply
    70,575.36x = 97,394.10 × 38,309.96
  4. Step 4: Simplify right side
    70,575.36x = 3,731,164,075.24
  5. Step 5: Solve for x
    x = 3,731,164,075.24/70,575.36
  6. Step 6: Final answer
    x = 52,867.80

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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.