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Finding the Fourth Proportional to 70,206.16, 96,851.40 and 41,506.48

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Solution

The fourth proportional to 70,206.16, 96,851.40 and 41,506.48 is: 57,259.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,206.16 : 96,851.40 = 41,506.48 : x
  2. Step 2: Convert to fraction form
    70,206.16/96,851.40 = 41,506.48/x
  3. Step 3: Cross multiply
    70,206.16x = 96,851.40 × 41,506.48
  4. Step 4: Simplify right side
    70,206.16x = 4,019,960,697.07
  5. Step 5: Solve for x
    x = 4,019,960,697.07/70,206.16
  6. Step 6: Final answer
    x = 57,259.37

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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.