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Finding the Fourth Proportional to 60,228, 83,114.64 and 33,732

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Solution

The fourth proportional to 60,228, 83,114.64 and 33,732 is: 46,550.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,228 : 83,114.64 = 33,732 : x
  2. Step 2: Convert to fraction form
    60,228/83,114.64 = 33,732/x
  3. Step 3: Cross multiply
    60,228x = 83,114.64 × 33,732
  4. Step 4: Simplify right side
    60,228x = 2,803,623,036.48
  5. Step 5: Solve for x
    x = 2,803,623,036.48/60,228
  6. Step 6: Final answer
    x = 46,550.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.