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Finding the Fourth Proportional to 70,407, 97,146.54 and 41,735.70

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Solution

The fourth proportional to 70,407, 97,146.54 and 41,735.70 is: 57,586.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,407 : 97,146.54 = 41,735.70 : x
  2. Step 2: Convert to fraction form
    70,407/97,146.54 = 41,735.70/x
  3. Step 3: Cross multiply
    70,407x = 97,146.54 × 41,735.70
  4. Step 4: Simplify right side
    70,407x = 4,054,478,849.48
  5. Step 5: Solve for x
    x = 4,054,478,849.48/70,407
  6. Step 6: Final answer
    x = 57,586.30

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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.