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Finding the Fourth Proportional to 98,172, 135,477.36 and 53,460

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Solution

The fourth proportional to 98,172, 135,477.36 and 53,460 is: 73,774.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,172 : 135,477.36 = 53,460 : x
  2. Step 2: Convert to fraction form
    98,172/135,477.36 = 53,460/x
  3. Step 3: Cross multiply
    98,172x = 135,477.36 × 53,460
  4. Step 4: Simplify right side
    98,172x = 7,242,619,665.60
  5. Step 5: Solve for x
    x = 7,242,619,665.60/98,172
  6. Step 6: Final answer
    x = 73,774.80

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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.