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Finding the Fourth Proportional to 30,074.52, 41,503.50 and 19,482.58

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Solution

The fourth proportional to 30,074.52, 41,503.50 and 19,482.58 is: 26,886.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,074.52 : 41,503.50 = 19,482.58 : x
  2. Step 2: Convert to fraction form
    30,074.52/41,503.50 = 19,482.58/x
  3. Step 3: Cross multiply
    30,074.52x = 41,503.50 × 19,482.58
  4. Step 4: Simplify right side
    30,074.52x = 808,595,259.03
  5. Step 5: Solve for x
    x = 808,595,259.03/30,074.52
  6. Step 6: Final answer
    x = 26,886.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.