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Finding the Fourth Proportional to 65,133.54, 97,746.95 and 27,719.89

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Solution

The fourth proportional to 65,133.54, 97,746.95 and 27,719.89 is: 41,599.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,133.54 : 97,746.95 = 27,719.89 : x
  2. Step 2: Convert to fraction form
    65,133.54/97,746.95 = 27,719.89/x
  3. Step 3: Cross multiply
    65,133.54x = 97,746.95 × 27,719.89
  4. Step 4: Simplify right side
    65,133.54x = 2,709,534,526.77
  5. Step 5: Solve for x
    x = 2,709,534,526.77/65,133.54
  6. Step 6: Final answer
    x = 41,599.68

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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.