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Finding the Fourth Proportional to 38,830.32, 58,262.76 and 20,358

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Solution

The fourth proportional to 38,830.32, 58,262.76 and 20,358 is: 30,546.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,830.32 : 58,262.76 = 20,358 : x
  2. Step 2: Convert to fraction form
    38,830.32/58,262.76 = 20,358/x
  3. Step 3: Cross multiply
    38,830.32x = 58,262.76 × 20,358
  4. Step 4: Simplify right side
    38,830.32x = 1,186,113,268.08
  5. Step 5: Solve for x
    x = 1,186,113,268.08/38,830.32
  6. Step 6: Final answer
    x = 30,546.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.