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Finding the Fourth Proportional to 70,305.65, 97,020 and 41,625.67

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Solution

The fourth proportional to 70,305.65, 97,020 and 41,625.67 is: 57,442.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,305.65 : 97,020 = 41,625.67 : x
  2. Step 2: Convert to fraction form
    70,305.65/97,020 = 41,625.67/x
  3. Step 3: Cross multiply
    70,305.65x = 97,020 × 41,625.67
  4. Step 4: Simplify right side
    70,305.65x = 4,038,522,503.40
  5. Step 5: Solve for x
    x = 4,038,522,503.40/70,305.65
  6. Step 6: Final answer
    x = 57,442.36

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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.