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Finding the Fourth Proportional to 92,461.95, 138,708.48 and 29,299.68

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Solution

The fourth proportional to 92,461.95, 138,708.48 and 29,299.68 is: 43,954.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,461.95 : 138,708.48 = 29,299.68 : x
  2. Step 2: Convert to fraction form
    92,461.95/138,708.48 = 29,299.68/x
  3. Step 3: Cross multiply
    92,461.95x = 138,708.48 × 29,299.68
  4. Step 4: Simplify right side
    92,461.95x = 4,064,114,077.29
  5. Step 5: Solve for x
    x = 4,064,114,077.29/92,461.95
  6. Step 6: Final answer
    x = 43,954.45

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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.