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Finding the Fourth Proportional to 45,303.66, 67,959.04 and 12,023

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Solution

The fourth proportional to 45,303.66, 67,959.04 and 12,023 is: 18,035.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,303.66 : 67,959.04 = 12,023 : x
  2. Step 2: Convert to fraction form
    45,303.66/67,959.04 = 12,023/x
  3. Step 3: Cross multiply
    45,303.66x = 67,959.04 × 12,023
  4. Step 4: Simplify right side
    45,303.66x = 817,071,537.92
  5. Step 5: Solve for x
    x = 817,071,537.92/45,303.66
  6. Step 6: Final answer
    x = 18,035.44

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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.