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Finding the Fourth Proportional to 98,064, 135,330.48 and 53,352

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Solution

The fourth proportional to 98,064, 135,330.48 and 53,352 is: 73,626.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,064 : 135,330.48 = 53,352 : x
  2. Step 2: Convert to fraction form
    98,064/135,330.48 = 53,352/x
  3. Step 3: Cross multiply
    98,064x = 135,330.48 × 53,352
  4. Step 4: Simplify right side
    98,064x = 7,220,151,768.96
  5. Step 5: Solve for x
    x = 7,220,151,768.96/98,064
  6. Step 6: Final answer
    x = 73,626.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.