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Finding the Fourth Proportional to 75,054.16, 112,587.32 and 19,650

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Solution

The fourth proportional to 75,054.16, 112,587.32 and 19,650 is: 29,476.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,054.16 : 112,587.32 = 19,650 : x
  2. Step 2: Convert to fraction form
    75,054.16/112,587.32 = 19,650/x
  3. Step 3: Cross multiply
    75,054.16x = 112,587.32 × 19,650
  4. Step 4: Simplify right side
    75,054.16x = 2,212,340,838
  5. Step 5: Solve for x
    x = 2,212,340,838/75,054.16
  6. Step 6: Final answer
    x = 29,476.59

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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.