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Finding the Fourth Proportional to 64,677.60, 97,019.64 and 23,124.60

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Solution

The fourth proportional to 64,677.60, 97,019.64 and 23,124.60 is: 34,688.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,677.60 : 97,019.64 = 23,124.60 : x
  2. Step 2: Convert to fraction form
    64,677.60/97,019.64 = 23,124.60/x
  3. Step 3: Cross multiply
    64,677.60x = 97,019.64 × 23,124.60
  4. Step 4: Simplify right side
    64,677.60x = 2,243,540,367.14
  5. Step 5: Solve for x
    x = 2,243,540,367.14/64,677.60
  6. Step 6: Final answer
    x = 34,688.06

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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.