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Finding the Fourth Proportional to 96,715.86, 145,043.07 and 31,036.50

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Solution

The fourth proportional to 96,715.86, 145,043.07 and 31,036.50 is: 46,544.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,715.86 : 145,043.07 = 31,036.50 : x
  2. Step 2: Convert to fraction form
    96,715.86/145,043.07 = 31,036.50/x
  3. Step 3: Cross multiply
    96,715.86x = 145,043.07 × 31,036.50
  4. Step 4: Simplify right side
    96,715.86x = 4,501,629,242.06
  5. Step 5: Solve for x
    x = 4,501,629,242.06/96,715.86
  6. Step 6: Final answer
    x = 46,544.89

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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.