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Finding the Fourth Proportional to 30,482.12, 42,074.18 and 17,738.28

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Solution

The fourth proportional to 30,482.12, 42,074.18 and 17,738.28 is: 24,483.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,482.12 : 42,074.18 = 17,738.28 : x
  2. Step 2: Convert to fraction form
    30,482.12/42,074.18 = 17,738.28/x
  3. Step 3: Cross multiply
    30,482.12x = 42,074.18 × 17,738.28
  4. Step 4: Simplify right side
    30,482.12x = 746,323,585.61
  5. Step 5: Solve for x
    x = 746,323,585.61/30,482.12
  6. Step 6: Final answer
    x = 24,483.98

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