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Finding the Fourth Proportional to 30,312.95, 45,448.29 and 13,436.82

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Solution

The fourth proportional to 30,312.95, 45,448.29 and 13,436.82 is: 20,145.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,312.95 : 45,448.29 = 13,436.82 : x
  2. Step 2: Convert to fraction form
    30,312.95/45,448.29 = 13,436.82/x
  3. Step 3: Cross multiply
    30,312.95x = 45,448.29 × 13,436.82
  4. Step 4: Simplify right side
    30,312.95x = 610,680,492.04
  5. Step 5: Solve for x
    x = 610,680,492.04/30,312.95
  6. Step 6: Final answer
    x = 20,145.86

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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.