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Finding the Fourth Proportional to 73,292.58, 109,916.88 and 31,172.34

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Solution

The fourth proportional to 73,292.58, 109,916.88 and 31,172.34 is: 46,749.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,292.58 : 109,916.88 = 31,172.34 : x
  2. Step 2: Convert to fraction form
    73,292.58/109,916.88 = 31,172.34/x
  3. Step 3: Cross multiply
    73,292.58x = 109,916.88 × 31,172.34
  4. Step 4: Simplify right side
    73,292.58x = 3,426,366,355.10
  5. Step 5: Solve for x
    x = 3,426,366,355.10/73,292.58
  6. Step 6: Final answer
    x = 46,749.16

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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.