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Finding the Fourth Proportional to 125,783.73, 188,675.73 and 32,289.48

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Solution

The fourth proportional to 125,783.73, 188,675.73 and 32,289.48 is: 48,434.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,783.73 : 188,675.73 = 32,289.48 : x
  2. Step 2: Convert to fraction form
    125,783.73/188,675.73 = 32,289.48/x
  3. Step 3: Cross multiply
    125,783.73x = 188,675.73 × 32,289.48
  4. Step 4: Simplify right side
    125,783.73x = 6,092,241,210.32
  5. Step 5: Solve for x
    x = 6,092,241,210.32/125,783.73
  6. Step 6: Final answer
    x = 48,434.25

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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.