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Finding the Fourth Proportional to 73,109.80, 109,470.30 and 46,671.40

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Solution

The fourth proportional to 73,109.80, 109,470.30 and 46,671.40 is: 69,883.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,109.80 : 109,470.30 = 46,671.40 : x
  2. Step 2: Convert to fraction form
    73,109.80/109,470.30 = 46,671.40/x
  3. Step 3: Cross multiply
    73,109.80x = 109,470.30 × 46,671.40
  4. Step 4: Simplify right side
    73,109.80x = 5,109,132,159.42
  5. Step 5: Solve for x
    x = 5,109,132,159.42/73,109.80
  6. Step 6: Final answer
    x = 69,883.00

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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.