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Finding the Fourth Proportional to 73,092, 109,638.54 and 17,688

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Solution

The fourth proportional to 73,092, 109,638.54 and 17,688 is: 26,532.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,092 : 109,638.54 = 17,688 : x
  2. Step 2: Convert to fraction form
    73,092/109,638.54 = 17,688/x
  3. Step 3: Cross multiply
    73,092x = 109,638.54 × 17,688
  4. Step 4: Simplify right side
    73,092x = 1,939,286,495.52
  5. Step 5: Solve for x
    x = 1,939,286,495.52/73,092
  6. Step 6: Final answer
    x = 26,532.13

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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.