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Finding the Fourth Proportional to 92,325.17, 138,506.38 and 29,155.16

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Solution

The fourth proportional to 92,325.17, 138,506.38 and 29,155.16 is: 43,738.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,325.17 : 138,506.38 = 29,155.16 : x
  2. Step 2: Convert to fraction form
    92,325.17/138,506.38 = 29,155.16/x
  3. Step 3: Cross multiply
    92,325.17x = 138,506.38 × 29,155.16
  4. Step 4: Simplify right side
    92,325.17x = 4,038,174,904.50
  5. Step 5: Solve for x
    x = 4,038,174,904.50/92,325.17
  6. Step 6: Final answer
    x = 43,738.62

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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.