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Finding the Fourth Proportional to 97,893.92, 146,851.52 and 31,318.40

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Solution

The fourth proportional to 97,893.92, 146,851.52 and 31,318.40 is: 46,981.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,893.92 : 146,851.52 = 31,318.40 : x
  2. Step 2: Convert to fraction form
    97,893.92/146,851.52 = 31,318.40/x
  3. Step 3: Cross multiply
    97,893.92x = 146,851.52 × 31,318.40
  4. Step 4: Simplify right side
    97,893.92x = 4,599,154,643.97
  5. Step 5: Solve for x
    x = 4,599,154,643.97/97,893.92
  6. Step 6: Final answer
    x = 46,981.00

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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.