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Finding the Fourth Proportional to 106,573.83, 147,071.16 and 58,827.15

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Solution

The fourth proportional to 106,573.83, 147,071.16 and 58,827.15 is: 81,181.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,573.83 : 147,071.16 = 58,827.15 : x
  2. Step 2: Convert to fraction form
    106,573.83/147,071.16 = 58,827.15/x
  3. Step 3: Cross multiply
    106,573.83x = 147,071.16 × 58,827.15
  4. Step 4: Simplify right side
    106,573.83x = 8,651,777,189.99
  5. Step 5: Solve for x
    x = 8,651,777,189.99/106,573.83
  6. Step 6: Final answer
    x = 81,181.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.