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Finding the Fourth Proportional to 93,454.52, 140,178.12 and 31,125

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Solution

The fourth proportional to 93,454.52, 140,178.12 and 31,125 is: 46,686.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,454.52 : 140,178.12 = 31,125 : x
  2. Step 2: Convert to fraction form
    93,454.52/140,178.12 = 31,125/x
  3. Step 3: Cross multiply
    93,454.52x = 140,178.12 × 31,125
  4. Step 4: Simplify right side
    93,454.52x = 4,363,043,985
  5. Step 5: Solve for x
    x = 4,363,043,985/93,454.52
  6. Step 6: Final answer
    x = 46,686.28

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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.