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Finding the Fourth Proportional to 51,624, 77,448.96 and 14,688

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Solution

The fourth proportional to 51,624, 77,448.96 and 14,688 is: 22,035.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,624 : 77,448.96 = 14,688 : x
  2. Step 2: Convert to fraction form
    51,624/77,448.96 = 14,688/x
  3. Step 3: Cross multiply
    51,624x = 77,448.96 × 14,688
  4. Step 4: Simplify right side
    51,624x = 1,137,570,324.48
  5. Step 5: Solve for x
    x = 1,137,570,324.48/51,624
  6. Step 6: Final answer
    x = 22,035.69

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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.