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Finding the Fourth Proportional to 116,024.50, 174,036.90 and 31,785.40

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Solution

The fourth proportional to 116,024.50, 174,036.90 and 31,785.40 is: 47,678.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,024.50 : 174,036.90 = 31,785.40 : x
  2. Step 2: Convert to fraction form
    116,024.50/174,036.90 = 31,785.40/x
  3. Step 3: Cross multiply
    116,024.50x = 174,036.90 × 31,785.40
  4. Step 4: Simplify right side
    116,024.50x = 5,531,832,481.26
  5. Step 5: Solve for x
    x = 5,531,832,481.26/116,024.50
  6. Step 6: Final answer
    x = 47,678.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.