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Finding the Fourth Proportional to 104,989.50, 157,484.25 and 31,117.50

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Solution

The fourth proportional to 104,989.50, 157,484.25 and 31,117.50 is: 46,676.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,989.50 : 157,484.25 = 31,117.50 : x
  2. Step 2: Convert to fraction form
    104,989.50/157,484.25 = 31,117.50/x
  3. Step 3: Cross multiply
    104,989.50x = 157,484.25 × 31,117.50
  4. Step 4: Simplify right side
    104,989.50x = 4,900,516,149.38
  5. Step 5: Solve for x
    x = 4,900,516,149.38/104,989.50
  6. Step 6: Final answer
    x = 46,676.25

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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.