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Finding the Fourth Proportional to 92,291.63, 138,430.53 and 29,113.83

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Solution

The fourth proportional to 92,291.63, 138,430.53 and 29,113.83 is: 43,668.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,291.63 : 138,430.53 = 29,113.83 : x
  2. Step 2: Convert to fraction form
    92,291.63/138,430.53 = 29,113.83/x
  3. Step 3: Cross multiply
    92,291.63x = 138,430.53 × 29,113.83
  4. Step 4: Simplify right side
    92,291.63x = 4,030,242,917.23
  5. Step 5: Solve for x
    x = 4,030,242,917.23/92,291.63
  6. Step 6: Final answer
    x = 43,668.57

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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.