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Finding the Fourth Proportional to 125,829.18, 188,776.44 and 46,944

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Solution

The fourth proportional to 125,829.18, 188,776.44 and 46,944 is: 70,428.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,829.18 : 188,776.44 = 46,944 : x
  2. Step 2: Convert to fraction form
    125,829.18/188,776.44 = 46,944/x
  3. Step 3: Cross multiply
    125,829.18x = 188,776.44 × 46,944
  4. Step 4: Simplify right side
    125,829.18x = 8,861,921,199.36
  5. Step 5: Solve for x
    x = 8,861,921,199.36/125,829.18
  6. Step 6: Final answer
    x = 70,428.19

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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.