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Finding the Fourth Proportional to 113,802.24, 170,706.48 and 30,696

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Solution

The fourth proportional to 113,802.24, 170,706.48 and 30,696 is: 46,044.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,802.24 : 170,706.48 = 30,696 : x
  2. Step 2: Convert to fraction form
    113,802.24/170,706.48 = 30,696/x
  3. Step 3: Cross multiply
    113,802.24x = 170,706.48 × 30,696
  4. Step 4: Simplify right side
    113,802.24x = 5,240,006,110.08
  5. Step 5: Solve for x
    x = 5,240,006,110.08/113,802.24
  6. Step 6: Final answer
    x = 46,044.84

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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.