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Finding the Fourth Proportional to 64,807.74, 97,197.02 and 23,254.74

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Solution

The fourth proportional to 64,807.74, 97,197.02 and 23,254.74 is: 34,876.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,807.74 : 97,197.02 = 23,254.74 : x
  2. Step 2: Convert to fraction form
    64,807.74/97,197.02 = 23,254.74/x
  3. Step 3: Cross multiply
    64,807.74x = 97,197.02 × 23,254.74
  4. Step 4: Simplify right side
    64,807.74x = 2,260,291,312.60
  5. Step 5: Solve for x
    x = 2,260,291,312.60/64,807.74
  6. Step 6: Final answer
    x = 34,876.87

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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.