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Finding the Fourth Proportional to 116,104.50, 174,160.08 and 31,865.35

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Solution

The fourth proportional to 116,104.50, 174,160.08 and 31,865.35 is: 47,798.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,104.50 : 174,160.08 = 31,865.35 : x
  2. Step 2: Convert to fraction form
    116,104.50/174,160.08 = 31,865.35/x
  3. Step 3: Cross multiply
    116,104.50x = 174,160.08 × 31,865.35
  4. Step 4: Simplify right side
    116,104.50x = 5,549,671,905.23
  5. Step 5: Solve for x
    x = 5,549,671,905.23/116,104.50
  6. Step 6: Final answer
    x = 47,798.94

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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.