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Finding the Fourth Proportional to 83,611.90, 115,384.62 and 47,802.88

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Solution

The fourth proportional to 83,611.90, 115,384.62 and 47,802.88 is: 65,968.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,611.90 : 115,384.62 = 47,802.88 : x
  2. Step 2: Convert to fraction form
    83,611.90/115,384.62 = 47,802.88/x
  3. Step 3: Cross multiply
    83,611.90x = 115,384.62 × 47,802.88
  4. Step 4: Simplify right side
    83,611.90x = 5,515,717,143.71
  5. Step 5: Solve for x
    x = 5,515,717,143.71/83,611.90
  6. Step 6: Final answer
    x = 65,968.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.