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Finding the Fourth Proportional to 102,503.70, 153,730.04 and 35,946

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Solution

The fourth proportional to 102,503.70, 153,730.04 and 35,946 is: 53,910.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,503.70 : 153,730.04 = 35,946 : x
  2. Step 2: Convert to fraction form
    102,503.70/153,730.04 = 35,946/x
  3. Step 3: Cross multiply
    102,503.70x = 153,730.04 × 35,946
  4. Step 4: Simplify right side
    102,503.70x = 5,525,979,838.11
  5. Step 5: Solve for x
    x = 5,525,979,838.11/102,503.70
  6. Step 6: Final answer
    x = 53,910.05

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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.