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Finding the Fourth Proportional to 64,841.76, 97,265.76 and 23,289.60

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Solution

The fourth proportional to 64,841.76, 97,265.76 and 23,289.60 is: 34,935.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,841.76 : 97,265.76 = 23,289.60 : x
  2. Step 2: Convert to fraction form
    64,841.76/97,265.76 = 23,289.60/x
  3. Step 3: Cross multiply
    64,841.76x = 97,265.76 × 23,289.60
  4. Step 4: Simplify right side
    64,841.76x = 2,265,280,644.10
  5. Step 5: Solve for x
    x = 2,265,280,644.10/64,841.76
  6. Step 6: Final answer
    x = 34,935.52

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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.