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Finding the Fourth Proportional to 45,722.40, 68,486.40 and 37,946.40

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Solution

The fourth proportional to 45,722.40, 68,486.40 and 37,946.40 is: 56,838.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,722.40 : 68,486.40 = 37,946.40 : x
  2. Step 2: Convert to fraction form
    45,722.40/68,486.40 = 37,946.40/x
  3. Step 3: Cross multiply
    45,722.40x = 68,486.40 × 37,946.40
  4. Step 4: Simplify right side
    45,722.40x = 2,598,812,328.96
  5. Step 5: Solve for x
    x = 2,598,812,328.96/45,722.40
  6. Step 6: Final answer
    x = 56,838.93

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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.