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Finding the Fourth Proportional to 64,996.96, 97,458.72 and 42,822.40

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Solution

The fourth proportional to 64,996.96, 97,458.72 and 42,822.40 is: 64,209.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,996.96 : 97,458.72 = 42,822.40 : x
  2. Step 2: Convert to fraction form
    64,996.96/97,458.72 = 42,822.40/x
  3. Step 3: Cross multiply
    64,996.96x = 97,458.72 × 42,822.40
  4. Step 4: Simplify right side
    64,996.96x = 4,173,416,291.33
  5. Step 5: Solve for x
    x = 4,173,416,291.33/64,996.96
  6. Step 6: Final answer
    x = 64,209.41

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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.