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Finding the Fourth Proportional to 70,505.16, 97,303.26 and 38,680.26

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Solution

The fourth proportional to 70,505.16, 97,303.26 and 38,680.26 is: 53,382.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,505.16 : 97,303.26 = 38,680.26 : x
  2. Step 2: Convert to fraction form
    70,505.16/97,303.26 = 38,680.26/x
  3. Step 3: Cross multiply
    70,505.16x = 97,303.26 × 38,680.26
  4. Step 4: Simplify right side
    70,505.16x = 3,763,715,395.65
  5. Step 5: Solve for x
    x = 3,763,715,395.65/70,505.16
  6. Step 6: Final answer
    x = 53,382.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.