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Finding the Fourth Proportional to 97,897.53, 135,090.20 and 54,291.48

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Solution

The fourth proportional to 97,897.53, 135,090.20 and 54,291.48 is: 74,917.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,897.53 : 135,090.20 = 54,291.48 : x
  2. Step 2: Convert to fraction form
    97,897.53/135,090.20 = 54,291.48/x
  3. Step 3: Cross multiply
    97,897.53x = 135,090.20 × 54,291.48
  4. Step 4: Simplify right side
    97,897.53x = 7,334,246,891.50
  5. Step 5: Solve for x
    x = 7,334,246,891.50/97,897.53
  6. Step 6: Final answer
    x = 74,917.59

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1.5x scale

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.