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Finding the Fourth Proportional to 101,406.48, 152,093.40 and 30,328.08

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Solution

The fourth proportional to 101,406.48, 152,093.40 and 30,328.08 is: 45,487.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,406.48 : 152,093.40 = 30,328.08 : x
  2. Step 2: Convert to fraction form
    101,406.48/152,093.40 = 30,328.08/x
  3. Step 3: Cross multiply
    101,406.48x = 152,093.40 × 30,328.08
  4. Step 4: Simplify right side
    101,406.48x = 4,612,700,802.67
  5. Step 5: Solve for x
    x = 4,612,700,802.67/101,406.48
  6. Step 6: Final answer
    x = 45,487.24

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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.