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Finding the Fourth Proportional to 105,044.50, 157,566.75 and 31,172.50

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Solution

The fourth proportional to 105,044.50, 157,566.75 and 31,172.50 is: 46,758.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,044.50 : 157,566.75 = 31,172.50 : x
  2. Step 2: Convert to fraction form
    105,044.50/157,566.75 = 31,172.50/x
  3. Step 3: Cross multiply
    105,044.50x = 157,566.75 × 31,172.50
  4. Step 4: Simplify right side
    105,044.50x = 4,911,749,514.38
  5. Step 5: Solve for x
    x = 4,911,749,514.38/105,044.50
  6. Step 6: Final answer
    x = 46,758.75

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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.