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Finding the Fourth Proportional to 60,782.40, 91,164.48 and 19,224

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Solution

The fourth proportional to 60,782.40, 91,164.48 and 19,224 is: 28,833.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,782.40 : 91,164.48 = 19,224 : x
  2. Step 2: Convert to fraction form
    60,782.40/91,164.48 = 19,224/x
  3. Step 3: Cross multiply
    60,782.40x = 91,164.48 × 19,224
  4. Step 4: Simplify right side
    60,782.40x = 1,752,545,963.52
  5. Step 5: Solve for x
    x = 1,752,545,963.52/60,782.40
  6. Step 6: Final answer
    x = 28,833.12

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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.