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Finding the Fourth Proportional to 30,533.17, 45,806.29 and 9,472.76

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Solution

The fourth proportional to 30,533.17, 45,806.29 and 9,472.76 is: 14,211.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,533.17 : 45,806.29 = 9,472.76 : x
  2. Step 2: Convert to fraction form
    30,533.17/45,806.29 = 9,472.76/x
  3. Step 3: Cross multiply
    30,533.17x = 45,806.29 × 9,472.76
  4. Step 4: Simplify right side
    30,533.17x = 433,911,715.27
  5. Step 5: Solve for x
    x = 433,911,715.27/30,533.17
  6. Step 6: Final answer
    x = 14,211.16

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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.