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Finding the Fourth Proportional to 65,274.84, 90,079.02 and 38,417.16

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Solution

The fourth proportional to 65,274.84, 90,079.02 and 38,417.16 is: 53,015.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,274.84 : 90,079.02 = 38,417.16 : x
  2. Step 2: Convert to fraction form
    65,274.84/90,079.02 = 38,417.16/x
  3. Step 3: Cross multiply
    65,274.84x = 90,079.02 × 38,417.16
  4. Step 4: Simplify right side
    65,274.84x = 3,460,580,123.98
  5. Step 5: Solve for x
    x = 3,460,580,123.98/65,274.84
  6. Step 6: Final answer
    x = 53,015.53

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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.