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Finding the Fourth Proportional to 56,064, 84,096 and 22,802.16

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Solution

The fourth proportional to 56,064, 84,096 and 22,802.16 is: 34,203.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,064 : 84,096 = 22,802.16 : x
  2. Step 2: Convert to fraction form
    56,064/84,096 = 22,802.16/x
  3. Step 3: Cross multiply
    56,064x = 84,096 × 22,802.16
  4. Step 4: Simplify right side
    56,064x = 1,917,570,447.36
  5. Step 5: Solve for x
    x = 1,917,570,447.36/56,064
  6. Step 6: Final answer
    x = 34,203.24

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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.