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Finding the Fourth Proportional to 65,046, 97,569.08 and 18,298.92

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Solution

The fourth proportional to 65,046, 97,569.08 and 18,298.92 is: 27,448.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,046 : 97,569.08 = 18,298.92 : x
  2. Step 2: Convert to fraction form
    65,046/97,569.08 = 18,298.92/x
  3. Step 3: Cross multiply
    65,046x = 97,569.08 × 18,298.92
  4. Step 4: Simplify right side
    65,046x = 1,785,408,789.39
  5. Step 5: Solve for x
    x = 1,785,408,789.39/65,046
  6. Step 6: Final answer
    x = 27,448.40

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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.