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Finding the Fourth Proportional to 70,983.76, 97,962.60 and 40,774

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Solution

The fourth proportional to 70,983.76, 97,962.60 and 40,774 is: 56,271.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,983.76 : 97,962.60 = 40,774 : x
  2. Step 2: Convert to fraction form
    70,983.76/97,962.60 = 40,774/x
  3. Step 3: Cross multiply
    70,983.76x = 97,962.60 × 40,774
  4. Step 4: Simplify right side
    70,983.76x = 3,994,327,052.40
  5. Step 5: Solve for x
    x = 3,994,327,052.40/70,983.76
  6. Step 6: Final answer
    x = 56,271.00

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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.