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Finding the Fourth Proportional to 98,501.86, 147,776.16 and 31,942

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Solution

The fourth proportional to 98,501.86, 147,776.16 and 31,942 is: 47,920.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,501.86 : 147,776.16 = 31,942 : x
  2. Step 2: Convert to fraction form
    98,501.86/147,776.16 = 31,942/x
  3. Step 3: Cross multiply
    98,501.86x = 147,776.16 × 31,942
  4. Step 4: Simplify right side
    98,501.86x = 4,720,266,102.72
  5. Step 5: Solve for x
    x = 4,720,266,102.72/98,501.86
  6. Step 6: Final answer
    x = 47,920.58

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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.