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Finding the Fourth Proportional to 29,806.56, 44,710 and 9,030.24

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Solution

The fourth proportional to 29,806.56, 44,710 and 9,030.24 is: 13,545.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,806.56 : 44,710 = 9,030.24 : x
  2. Step 2: Convert to fraction form
    29,806.56/44,710 = 9,030.24/x
  3. Step 3: Cross multiply
    29,806.56x = 44,710 × 9,030.24
  4. Step 4: Simplify right side
    29,806.56x = 403,742,030.40
  5. Step 5: Solve for x
    x = 403,742,030.40/29,806.56
  6. Step 6: Final answer
    x = 13,545.41

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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.