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Finding the Fourth Proportional to 96,592.26, 144,928.26 and 42,529.17

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Solution

The fourth proportional to 96,592.26, 144,928.26 and 42,529.17 is: 63,811.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,592.26 : 144,928.26 = 42,529.17 : x
  2. Step 2: Convert to fraction form
    96,592.26/144,928.26 = 42,529.17/x
  3. Step 3: Cross multiply
    96,592.26x = 144,928.26 × 42,529.17
  4. Step 4: Simplify right side
    96,592.26x = 6,163,678,607.34
  5. Step 5: Solve for x
    x = 6,163,678,607.34/96,592.26
  6. Step 6: Final answer
    x = 63,811.31

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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.