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Finding the Fourth Proportional to 108,706.40, 163,042.14 and 29,802.32

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Solution

The fourth proportional to 108,706.40, 163,042.14 and 29,802.32 is: 44,698.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,706.40 : 163,042.14 = 29,802.32 : x
  2. Step 2: Convert to fraction form
    108,706.40/163,042.14 = 29,802.32/x
  3. Step 3: Cross multiply
    108,706.40x = 163,042.14 × 29,802.32
  4. Step 4: Simplify right side
    108,706.40x = 4,859,034,029.76
  5. Step 5: Solve for x
    x = 4,859,034,029.76/108,706.40
  6. Step 6: Final answer
    x = 44,698.69

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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.