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Finding the Fourth Proportional to 97,222.50, 145,833.75 and 31,558.50

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Solution

The fourth proportional to 97,222.50, 145,833.75 and 31,558.50 is: 47,337.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,222.50 : 145,833.75 = 31,558.50 : x
  2. Step 2: Convert to fraction form
    97,222.50/145,833.75 = 31,558.50/x
  3. Step 3: Cross multiply
    97,222.50x = 145,833.75 × 31,558.50
  4. Step 4: Simplify right side
    97,222.50x = 4,602,294,399.38
  5. Step 5: Solve for x
    x = 4,602,294,399.38/97,222.50
  6. Step 6: Final answer
    x = 47,337.75

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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.