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Finding the Fourth Proportional to 70,584.16, 97,406.31 and 38,755.11

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Solution

The fourth proportional to 70,584.16, 97,406.31 and 38,755.11 is: 53,482.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,584.16 : 97,406.31 = 38,755.11 : x
  2. Step 2: Convert to fraction form
    70,584.16/97,406.31 = 38,755.11/x
  3. Step 3: Cross multiply
    70,584.16x = 97,406.31 × 38,755.11
  4. Step 4: Simplify right side
    70,584.16x = 3,774,992,258.74
  5. Step 5: Solve for x
    x = 3,774,992,258.74/70,584.16
  6. Step 6: Final answer
    x = 53,482.14

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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.