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Finding the Fourth Proportional to 70,900.64, 97,849.78 and 52,964.48

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Solution

The fourth proportional to 70,900.64, 97,849.78 and 52,964.48 is: 73,096.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,900.64 : 97,849.78 = 52,964.48 : x
  2. Step 2: Convert to fraction form
    70,900.64/97,849.78 = 52,964.48/x
  3. Step 3: Cross multiply
    70,900.64x = 97,849.78 × 52,964.48
  4. Step 4: Simplify right side
    70,900.64x = 5,182,562,715.81
  5. Step 5: Solve for x
    x = 5,182,562,715.81/70,900.64
  6. Step 6: Final answer
    x = 73,096.13

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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.