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Finding the Fourth Proportional to 30,802.19, 46,208.98 and 9,747.53

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Solution

The fourth proportional to 30,802.19, 46,208.98 and 9,747.53 is: 14,623.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,802.19 : 46,208.98 = 9,747.53 : x
  2. Step 2: Convert to fraction form
    30,802.19/46,208.98 = 9,747.53/x
  3. Step 3: Cross multiply
    30,802.19x = 46,208.98 × 9,747.53
  4. Step 4: Simplify right side
    30,802.19x = 450,423,187.77
  5. Step 5: Solve for x
    x = 450,423,187.77/30,802.19
  6. Step 6: Final answer
    x = 14,623.09

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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.