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Finding the Fourth Proportional to 37,374, 56,061 and 14,011.44

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Solution

The fourth proportional to 37,374, 56,061 and 14,011.44 is: 21,017.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,374 : 56,061 = 14,011.44 : x
  2. Step 2: Convert to fraction form
    37,374/56,061 = 14,011.44/x
  3. Step 3: Cross multiply
    37,374x = 56,061 × 14,011.44
  4. Step 4: Simplify right side
    37,374x = 785,495,337.84
  5. Step 5: Solve for x
    x = 785,495,337.84/37,374
  6. Step 6: Final answer
    x = 21,017.16

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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.