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Finding the Fourth Proportional to 109,873.40, 164,810.10 and 46,677.20

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Solution

The fourth proportional to 109,873.40, 164,810.10 and 46,677.20 is: 70,015.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,873.40 : 164,810.10 = 46,677.20 : x
  2. Step 2: Convert to fraction form
    109,873.40/164,810.10 = 46,677.20/x
  3. Step 3: Cross multiply
    109,873.40x = 164,810.10 × 46,677.20
  4. Step 4: Simplify right side
    109,873.40x = 7,692,873,999.72
  5. Step 5: Solve for x
    x = 7,692,873,999.72/109,873.40
  6. Step 6: Final answer
    x = 70,015.80

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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.