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Finding the Fourth Proportional to 101,460.55, 152,209.95 and 31,323.46

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Solution

The fourth proportional to 101,460.55, 152,209.95 and 31,323.46 is: 46,991.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,460.55 : 152,209.95 = 31,323.46 : x
  2. Step 2: Convert to fraction form
    101,460.55/152,209.95 = 31,323.46/x
  3. Step 3: Cross multiply
    101,460.55x = 152,209.95 × 31,323.46
  4. Step 4: Simplify right side
    101,460.55x = 4,767,742,280.43
  5. Step 5: Solve for x
    x = 4,767,742,280.43/101,460.55
  6. Step 6: Final answer
    x = 46,991.09

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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.