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Finding the Fourth Proportional to 30,756.96, 46,130.40 and 11,031.84

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Solution

The fourth proportional to 30,756.96, 46,130.40 and 11,031.84 is: 16,545.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,756.96 : 46,130.40 = 11,031.84 : x
  2. Step 2: Convert to fraction form
    30,756.96/46,130.40 = 11,031.84/x
  3. Step 3: Cross multiply
    30,756.96x = 46,130.40 × 11,031.84
  4. Step 4: Simplify right side
    30,756.96x = 508,903,191.94
  5. Step 5: Solve for x
    x = 508,903,191.94/30,756.96
  6. Step 6: Final answer
    x = 16,545.95

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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.