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Finding the Fourth Proportional to 65,072.48, 97,628.16 and 33,929.60

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Solution

The fourth proportional to 65,072.48, 97,628.16 and 33,929.60 is: 50,904.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,072.48 : 97,628.16 = 33,929.60 : x
  2. Step 2: Convert to fraction form
    65,072.48/97,628.16 = 33,929.60/x
  3. Step 3: Cross multiply
    65,072.48x = 97,628.16 × 33,929.60
  4. Step 4: Simplify right side
    65,072.48x = 3,312,484,417.54
  5. Step 5: Solve for x
    x = 3,312,484,417.54/65,072.48
  6. Step 6: Final answer
    x = 50,904.54

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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.