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Finding the Fourth Proportional to 30,603.50, 45,904.68 and 8,416.78

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Solution

The fourth proportional to 30,603.50, 45,904.68 and 8,416.78 is: 12,625.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,603.50 : 45,904.68 = 8,416.78 : x
  2. Step 2: Convert to fraction form
    30,603.50/45,904.68 = 8,416.78/x
  3. Step 3: Cross multiply
    30,603.50x = 45,904.68 × 8,416.78
  4. Step 4: Simplify right side
    30,603.50x = 386,369,592.53
  5. Step 5: Solve for x
    x = 386,369,592.53/30,603.50
  6. Step 6: Final answer
    x = 12,625.01

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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.