Home / 109,830.40-164,752.80-30,947.20

Finding the Fourth Proportional to 109,830.40, 164,752.80 and 30,947.20

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Solution

The fourth proportional to 109,830.40, 164,752.80 and 30,947.20 is: 46,422.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,830.40 : 164,752.80 = 30,947.20 : x
  2. Step 2: Convert to fraction form
    109,830.40/164,752.80 = 30,947.20/x
  3. Step 3: Cross multiply
    109,830.40x = 164,752.80 × 30,947.20
  4. Step 4: Simplify right side
    109,830.40x = 5,098,637,852.16
  5. Step 5: Solve for x
    x = 5,098,637,852.16/109,830.40
  6. Step 6: Final answer
    x = 46,422.83

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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.