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Finding the Fourth Proportional to 42,772.41, 64,158.65 and 11,607.66

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Solution

The fourth proportional to 42,772.41, 64,158.65 and 11,607.66 is: 17,411.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,772.41 : 64,158.65 = 11,607.66 : x
  2. Step 2: Convert to fraction form
    42,772.41/64,158.65 = 11,607.66/x
  3. Step 3: Cross multiply
    42,772.41x = 64,158.65 × 11,607.66
  4. Step 4: Simplify right side
    42,772.41x = 744,731,737.22
  5. Step 5: Solve for x
    x = 744,731,737.22/42,772.41
  6. Step 6: Final answer
    x = 17,411.50

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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.