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Finding the Fourth Proportional to 29,835, 44,752.77 and 9,058.50

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Solution

The fourth proportional to 29,835, 44,752.77 and 9,058.50 is: 13,587.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,835 : 44,752.77 = 9,058.50 : x
  2. Step 2: Convert to fraction form
    29,835/44,752.77 = 9,058.50/x
  3. Step 3: Cross multiply
    29,835x = 44,752.77 × 9,058.50
  4. Step 4: Simplify right side
    29,835x = 405,392,967.05
  5. Step 5: Solve for x
    x = 405,392,967.05/29,835
  6. Step 6: Final answer
    x = 13,587.83

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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.