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Finding the Fourth Proportional to 101,594.51, 152,406.05 and 42,416.72

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Solution

The fourth proportional to 101,594.51, 152,406.05 and 42,416.72 is: 63,631.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,594.51 : 152,406.05 = 42,416.72 : x
  2. Step 2: Convert to fraction form
    101,594.51/152,406.05 = 42,416.72/x
  3. Step 3: Cross multiply
    101,594.51x = 152,406.05 × 42,416.72
  4. Step 4: Simplify right side
    101,594.51x = 6,464,563,775.04
  5. Step 5: Solve for x
    x = 6,464,563,775.04/101,594.51
  6. Step 6: Final answer
    x = 63,631.04

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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.