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Finding the Fourth Proportional to 64,895.70, 97,384.50 and 25,451.76

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Solution

The fourth proportional to 64,895.70, 97,384.50 and 25,451.76 is: 38,193.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,895.70 : 97,384.50 = 25,451.76 : x
  2. Step 2: Convert to fraction form
    64,895.70/97,384.50 = 25,451.76/x
  3. Step 3: Cross multiply
    64,895.70x = 97,384.50 × 25,451.76
  4. Step 4: Simplify right side
    64,895.70x = 2,478,606,921.72
  5. Step 5: Solve for x
    x = 2,478,606,921.72/64,895.70
  6. Step 6: Final answer
    x = 38,193.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.