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Finding the Fourth Proportional to 45,206.71, 67,802.32 and 11,927.10

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Solution

The fourth proportional to 45,206.71, 67,802.32 and 11,927.10 is: 17,888.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,206.71 : 67,802.32 = 11,927.10 : x
  2. Step 2: Convert to fraction form
    45,206.71/67,802.32 = 11,927.10/x
  3. Step 3: Cross multiply
    45,206.71x = 67,802.32 × 11,927.10
  4. Step 4: Simplify right side
    45,206.71x = 808,684,871.56
  5. Step 5: Solve for x
    x = 808,684,871.56/45,206.71
  6. Step 6: Final answer
    x = 17,888.60

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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.