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Finding the Fourth Proportional to 30,802.71, 46,211.01 and 9,744.03

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Solution

The fourth proportional to 30,802.71, 46,211.01 and 9,744.03 is: 14,618.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,802.71 : 46,211.01 = 9,744.03 : x
  2. Step 2: Convert to fraction form
    30,802.71/46,211.01 = 9,744.03/x
  3. Step 3: Cross multiply
    30,802.71x = 46,211.01 × 9,744.03
  4. Step 4: Simplify right side
    30,802.71x = 450,281,467.77
  5. Step 5: Solve for x
    x = 450,281,467.77/30,802.71
  6. Step 6: Final answer
    x = 14,618.24

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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.