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Finding the Fourth Proportional to 105,044.07, 157,566.02 and 31,172.07

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Solution

The fourth proportional to 105,044.07, 157,566.02 and 31,172.07 is: 46,758.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,044.07 : 157,566.02 = 31,172.07 : x
  2. Step 2: Convert to fraction form
    105,044.07/157,566.02 = 31,172.07/x
  3. Step 3: Cross multiply
    105,044.07x = 157,566.02 × 31,172.07
  4. Step 4: Simplify right side
    105,044.07x = 4,911,659,005.06
  5. Step 5: Solve for x
    x = 4,911,659,005.06/105,044.07
  6. Step 6: Final answer
    x = 46,758.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.