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Finding the Fourth Proportional to 30,543.02, 45,811.64 and 9,760.94

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Solution

The fourth proportional to 30,543.02, 45,811.64 and 9,760.94 is: 14,640.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,543.02 : 45,811.64 = 9,760.94 : x
  2. Step 2: Convert to fraction form
    30,543.02/45,811.64 = 9,760.94/x
  3. Step 3: Cross multiply
    30,543.02x = 45,811.64 × 9,760.94
  4. Step 4: Simplify right side
    30,543.02x = 447,164,669.34
  5. Step 5: Solve for x
    x = 447,164,669.34/30,543.02
  6. Step 6: Final answer
    x = 14,640.49

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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.