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Finding the Fourth Proportional to 82,865.60, 124,316.40 and 30,275

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Solution

The fourth proportional to 82,865.60, 124,316.40 and 30,275 is: 45,419.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,865.60 : 124,316.40 = 30,275 : x
  2. Step 2: Convert to fraction form
    82,865.60/124,316.40 = 30,275/x
  3. Step 3: Cross multiply
    82,865.60x = 124,316.40 × 30,275
  4. Step 4: Simplify right side
    82,865.60x = 3,763,679,010
  5. Step 5: Solve for x
    x = 3,763,679,010/82,865.60
  6. Step 6: Final answer
    x = 45,419.08

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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.