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Finding the Fourth Proportional to 97,748, 134,892.96 and 53,036

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Solution

The fourth proportional to 97,748, 134,892.96 and 53,036 is: 73,190.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,748 : 134,892.96 = 53,036 : x
  2. Step 2: Convert to fraction form
    97,748/134,892.96 = 53,036/x
  3. Step 3: Cross multiply
    97,748x = 134,892.96 × 53,036
  4. Step 4: Simplify right side
    97,748x = 7,154,183,026.56
  5. Step 5: Solve for x
    x = 7,154,183,026.56/97,748
  6. Step 6: Final answer
    x = 73,190.07

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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.