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Finding the Fourth Proportional to 70,809.14, 97,705.16 and 40,588.90

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Solution

The fourth proportional to 70,809.14, 97,705.16 and 40,588.90 is: 56,006.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,809.14 : 97,705.16 = 40,588.90 : x
  2. Step 2: Convert to fraction form
    70,809.14/97,705.16 = 40,588.90/x
  3. Step 3: Cross multiply
    70,809.14x = 97,705.16 × 40,588.90
  4. Step 4: Simplify right side
    70,809.14x = 3,965,744,968.72
  5. Step 5: Solve for x
    x = 3,965,744,968.72/70,809.14
  6. Step 6: Final answer
    x = 56,006.12

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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.