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Finding the Fourth Proportional to 29,776.30, 41,088.96 and 16,347.52

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Solution

The fourth proportional to 29,776.30, 41,088.96 and 16,347.52 is: 22,558.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,776.30 : 41,088.96 = 16,347.52 : x
  2. Step 2: Convert to fraction form
    29,776.30/41,088.96 = 16,347.52/x
  3. Step 3: Cross multiply
    29,776.30x = 41,088.96 × 16,347.52
  4. Step 4: Simplify right side
    29,776.30x = 671,702,595.38
  5. Step 5: Solve for x
    x = 671,702,595.38/29,776.30
  6. Step 6: Final answer
    x = 22,558.30

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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.