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Finding the Fourth Proportional to 36,341.76, 54,501.12 and 11,712

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Solution

The fourth proportional to 36,341.76, 54,501.12 and 11,712 is: 17,564.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,341.76 : 54,501.12 = 11,712 : x
  2. Step 2: Convert to fraction form
    36,341.76/54,501.12 = 11,712/x
  3. Step 3: Cross multiply
    36,341.76x = 54,501.12 × 11,712
  4. Step 4: Simplify right side
    36,341.76x = 638,317,117.44
  5. Step 5: Solve for x
    x = 638,317,117.44/36,341.76
  6. Step 6: Final answer
    x = 17,564.29

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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.