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Finding the Fourth Proportional to 97,237.95, 145,856.91 and 23,365.95

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Solution

The fourth proportional to 97,237.95, 145,856.91 and 23,365.95 is: 35,048.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,237.95 : 145,856.91 = 23,365.95 : x
  2. Step 2: Convert to fraction form
    97,237.95/145,856.91 = 23,365.95/x
  3. Step 3: Cross multiply
    97,237.95x = 145,856.91 × 23,365.95
  4. Step 4: Simplify right side
    97,237.95x = 3,408,085,266.21
  5. Step 5: Solve for x
    x = 3,408,085,266.21/97,237.95
  6. Step 6: Final answer
    x = 35,048.92

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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.