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Finding the Fourth Proportional to 30,531.84, 45,802.68 and 14,950.68

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Solution

The fourth proportional to 30,531.84, 45,802.68 and 14,950.68 is: 22,428.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,531.84 : 45,802.68 = 14,950.68 : x
  2. Step 2: Convert to fraction form
    30,531.84/45,802.68 = 14,950.68/x
  3. Step 3: Cross multiply
    30,531.84x = 45,802.68 × 14,950.68
  4. Step 4: Simplify right side
    30,531.84x = 684,781,211.82
  5. Step 5: Solve for x
    x = 684,781,211.82/30,531.84
  6. Step 6: Final answer
    x = 22,428.43

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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.