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Finding the Fourth Proportional to 96,828.50, 145,242.75 and 31,164.50

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Solution

The fourth proportional to 96,828.50, 145,242.75 and 31,164.50 is: 46,746.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,828.50 : 145,242.75 = 31,164.50 : x
  2. Step 2: Convert to fraction form
    96,828.50/145,242.75 = 31,164.50/x
  3. Step 3: Cross multiply
    96,828.50x = 145,242.75 × 31,164.50
  4. Step 4: Simplify right side
    96,828.50x = 4,526,417,682.38
  5. Step 5: Solve for x
    x = 4,526,417,682.38/96,828.50
  6. Step 6: Final answer
    x = 46,746.75

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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.