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Finding the Fourth Proportional to 38,058, 57,070.92 and 11,407.77

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Solution

The fourth proportional to 38,058, 57,070.92 and 11,407.77 is: 17,106.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,058 : 57,070.92 = 11,407.77 : x
  2. Step 2: Convert to fraction form
    38,058/57,070.92 = 11,407.77/x
  3. Step 3: Cross multiply
    38,058x = 57,070.92 × 11,407.77
  4. Step 4: Simplify right side
    38,058x = 651,051,929.05
  5. Step 5: Solve for x
    x = 651,051,929.05/38,058
  6. Step 6: Final answer
    x = 17,106.84

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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.