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Finding the Fourth Proportional to 48,205.10, 72,307.65 and 48,205.10

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Solution

The fourth proportional to 48,205.10, 72,307.65 and 48,205.10 is: 72,307.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,205.10 : 72,307.65 = 48,205.10 : x
  2. Step 2: Convert to fraction form
    48,205.10/72,307.65 = 48,205.10/x
  3. Step 3: Cross multiply
    48,205.10x = 72,307.65 × 48,205.10
  4. Step 4: Simplify right side
    48,205.10x = 3,485,597,499.02
  5. Step 5: Solve for x
    x = 3,485,597,499.02/48,205.10
  6. Step 6: Final answer
    x = 72,307.65

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