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Finding the Fourth Proportional to 97,344.99, 145,966.05 and 45,999.90

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Solution

The fourth proportional to 97,344.99, 145,966.05 and 45,999.90 is: 68,975.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,344.99 : 145,966.05 = 45,999.90 : x
  2. Step 2: Convert to fraction form
    97,344.99/145,966.05 = 45,999.90/x
  3. Step 3: Cross multiply
    97,344.99x = 145,966.05 × 45,999.90
  4. Step 4: Simplify right side
    97,344.99x = 6,714,423,703.40
  5. Step 5: Solve for x
    x = 6,714,423,703.40/97,344.99
  6. Step 6: Final answer
    x = 68,975.54

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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.