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Finding the Fourth Proportional to 32,058.06, 48,092.58 and 9,871

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Solution

The fourth proportional to 32,058.06, 48,092.58 and 9,871 is: 14,808.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,058.06 : 48,092.58 = 9,871 : x
  2. Step 2: Convert to fraction form
    32,058.06/48,092.58 = 9,871/x
  3. Step 3: Cross multiply
    32,058.06x = 48,092.58 × 9,871
  4. Step 4: Simplify right side
    32,058.06x = 474,721,857.18
  5. Step 5: Solve for x
    x = 474,721,857.18/32,058.06
  6. Step 6: Final answer
    x = 14,808.19

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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.