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Finding the Fourth Proportional to 65,273.84, 90,077.64 and 38,416.16

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Solution

The fourth proportional to 65,273.84, 90,077.64 and 38,416.16 is: 53,014.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,273.84 : 90,077.64 = 38,416.16 : x
  2. Step 2: Convert to fraction form
    65,273.84/90,077.64 = 38,416.16/x
  3. Step 3: Cross multiply
    65,273.84x = 90,077.64 × 38,416.16
  4. Step 4: Simplify right side
    65,273.84x = 3,460,437,030.66
  5. Step 5: Solve for x
    x = 3,460,437,030.66/65,273.84
  6. Step 6: Final answer
    x = 53,014.15

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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.