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Finding the Fourth Proportional to 52,605.63, 78,946.16 and 35,696.47

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Solution

The fourth proportional to 52,605.63, 78,946.16 and 35,696.47 is: 53,570.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,605.63 : 78,946.16 = 35,696.47 : x
  2. Step 2: Convert to fraction form
    52,605.63/78,946.16 = 35,696.47/x
  3. Step 3: Cross multiply
    52,605.63x = 78,946.16 × 35,696.47
  4. Step 4: Simplify right side
    52,605.63x = 2,818,099,053.57
  5. Step 5: Solve for x
    x = 2,818,099,053.57/52,605.63
  6. Step 6: Final answer
    x = 53,570.30

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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.