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Finding the Fourth Proportional to 70,596, 97,431.12 and 40,788

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Solution

The fourth proportional to 70,596, 97,431.12 and 40,788 is: 56,292.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,596 : 97,431.12 = 40,788 : x
  2. Step 2: Convert to fraction form
    70,596/97,431.12 = 40,788/x
  3. Step 3: Cross multiply
    70,596x = 97,431.12 × 40,788
  4. Step 4: Simplify right side
    70,596x = 3,974,020,522.56
  5. Step 5: Solve for x
    x = 3,974,020,522.56/70,596
  6. Step 6: Final answer
    x = 56,292.43

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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.