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Finding the Fourth Proportional to 70,475.37, 97,256.42 and 38,210.23

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Solution

The fourth proportional to 70,475.37, 97,256.42 and 38,210.23 is: 52,730.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,475.37 : 97,256.42 = 38,210.23 : x
  2. Step 2: Convert to fraction form
    70,475.37/97,256.42 = 38,210.23/x
  3. Step 3: Cross multiply
    70,475.37x = 97,256.42 × 38,210.23
  4. Step 4: Simplify right side
    70,475.37x = 3,716,190,177.18
  5. Step 5: Solve for x
    x = 3,716,190,177.18/70,475.37
  6. Step 6: Final answer
    x = 52,730.34

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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.