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Finding the Fourth Proportional to 101,594.52, 152,406.06 and 42,416.76

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Solution

The fourth proportional to 101,594.52, 152,406.06 and 42,416.76 is: 63,631.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,594.52 : 152,406.06 = 42,416.76 : x
  2. Step 2: Convert to fraction form
    101,594.52/152,406.06 = 42,416.76/x
  3. Step 3: Cross multiply
    101,594.52x = 152,406.06 × 42,416.76
  4. Step 4: Simplify right side
    101,594.52x = 6,464,571,269.57
  5. Step 5: Solve for x
    x = 6,464,571,269.57/101,594.52
  6. Step 6: Final answer
    x = 63,631.10

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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.