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Finding the Fourth Proportional to 35,614.32, 53,439.70 and 14,569.91

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Solution

The fourth proportional to 35,614.32, 53,439.70 and 14,569.91 is: 21,862.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,614.32 : 53,439.70 = 14,569.91 : x
  2. Step 2: Convert to fraction form
    35,614.32/53,439.70 = 14,569.91/x
  3. Step 3: Cross multiply
    35,614.32x = 53,439.70 × 14,569.91
  4. Step 4: Simplify right side
    35,614.32x = 778,611,546.58
  5. Step 5: Solve for x
    x = 778,611,546.58/35,614.32
  6. Step 6: Final answer
    x = 21,862.32

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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.