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Finding the Fourth Proportional to 98,262, 135,602.10 and 53,550

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Solution

The fourth proportional to 98,262, 135,602.10 and 53,550 is: 73,899.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,262 : 135,602.10 = 53,550 : x
  2. Step 2: Convert to fraction form
    98,262/135,602.10 = 53,550/x
  3. Step 3: Cross multiply
    98,262x = 135,602.10 × 53,550
  4. Step 4: Simplify right side
    98,262x = 7,261,492,455
  5. Step 5: Solve for x
    x = 7,261,492,455/98,262
  6. Step 6: Final answer
    x = 73,899.29

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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.