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Finding the Fourth Proportional to 65,026.14, 97,712.01 and 60,827.10

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Solution

The fourth proportional to 65,026.14, 97,712.01 and 60,827.10 is: 91,402.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,026.14 : 97,712.01 = 60,827.10 : x
  2. Step 2: Convert to fraction form
    65,026.14/97,712.01 = 60,827.10/x
  3. Step 3: Cross multiply
    65,026.14x = 97,712.01 × 60,827.10
  4. Step 4: Simplify right side
    65,026.14x = 5,943,538,203.47
  5. Step 5: Solve for x
    x = 5,943,538,203.47/65,026.14
  6. Step 6: Final answer
    x = 91,402.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.