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Finding the Fourth Proportional to 65,196, 97,778.64 and 17,799.81

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Solution

The fourth proportional to 65,196, 97,778.64 and 17,799.81 is: 26,695.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,196 : 97,778.64 = 17,799.81 : x
  2. Step 2: Convert to fraction form
    65,196/97,778.64 = 17,799.81/x
  3. Step 3: Cross multiply
    65,196x = 97,778.64 × 17,799.81
  4. Step 4: Simplify right side
    65,196x = 1,740,441,214.06
  5. Step 5: Solve for x
    x = 1,740,441,214.06/65,196
  6. Step 6: Final answer
    x = 26,695.52

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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.