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Finding the Fourth Proportional to 70,409.95, 97,163.62 and 38,577.76

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Solution

The fourth proportional to 70,409.95, 97,163.62 and 38,577.76 is: 53,236.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,409.95 : 97,163.62 = 38,577.76 : x
  2. Step 2: Convert to fraction form
    70,409.95/97,163.62 = 38,577.76/x
  3. Step 3: Cross multiply
    70,409.95x = 97,163.62 × 38,577.76
  4. Step 4: Simplify right side
    70,409.95x = 3,748,354,813.09
  5. Step 5: Solve for x
    x = 3,748,354,813.09/70,409.95
  6. Step 6: Final answer
    x = 53,236.15

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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.