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Finding the Fourth Proportional to 85,273.32, 127,953.18 and 57,513

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Solution

The fourth proportional to 85,273.32, 127,953.18 and 57,513 is: 86,298.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,273.32 : 127,953.18 = 57,513 : x
  2. Step 2: Convert to fraction form
    85,273.32/127,953.18 = 57,513/x
  3. Step 3: Cross multiply
    85,273.32x = 127,953.18 × 57,513
  4. Step 4: Simplify right side
    85,273.32x = 7,358,971,241.34
  5. Step 5: Solve for x
    x = 7,358,971,241.34/85,273.32
  6. Step 6: Final answer
    x = 86,298.64

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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.