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Finding the Fourth Proportional to 96,509.42, 144,928.56 and 62,832.80

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Solution

The fourth proportional to 96,509.42, 144,928.56 and 62,832.80 is: 94,356.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,509.42 : 144,928.56 = 62,832.80 : x
  2. Step 2: Convert to fraction form
    96,509.42/144,928.56 = 62,832.80/x
  3. Step 3: Cross multiply
    96,509.42x = 144,928.56 × 62,832.80
  4. Step 4: Simplify right side
    96,509.42x = 9,106,267,224.77
  5. Step 5: Solve for x
    x = 9,106,267,224.77/96,509.42
  6. Step 6: Final answer
    x = 94,356.25

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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.