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Finding the Fourth Proportional to 38,580.46, 53,259.23 and 29,023.99

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Solution

The fourth proportional to 38,580.46, 53,259.23 and 29,023.99 is: 40,066.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,580.46 : 53,259.23 = 29,023.99 : x
  2. Step 2: Convert to fraction form
    38,580.46/53,259.23 = 29,023.99/x
  3. Step 3: Cross multiply
    38,580.46x = 53,259.23 × 29,023.99
  4. Step 4: Simplify right side
    38,580.46x = 1,545,795,298.34
  5. Step 5: Solve for x
    x = 1,545,795,298.34/38,580.46
  6. Step 6: Final answer
    x = 40,066.80

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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.