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Finding the Fourth Proportional to 97,482.66, 146,223.98 and 35,153.16

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Solution

The fourth proportional to 97,482.66, 146,223.98 and 35,153.16 is: 52,729.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,482.66 : 146,223.98 = 35,153.16 : x
  2. Step 2: Convert to fraction form
    97,482.66/146,223.98 = 35,153.16/x
  3. Step 3: Cross multiply
    97,482.66x = 146,223.98 × 35,153.16
  4. Step 4: Simplify right side
    97,482.66x = 5,140,234,570.23
  5. Step 5: Solve for x
    x = 5,140,234,570.23/97,482.66
  6. Step 6: Final answer
    x = 52,729.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.