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Finding the Fourth Proportional to 37,439.58, 56,159.21 and 9,737.50

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Solution

The fourth proportional to 37,439.58, 56,159.21 and 9,737.50 is: 14,606.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,439.58 : 56,159.21 = 9,737.50 : x
  2. Step 2: Convert to fraction form
    37,439.58/56,159.21 = 9,737.50/x
  3. Step 3: Cross multiply
    37,439.58x = 56,159.21 × 9,737.50
  4. Step 4: Simplify right side
    37,439.58x = 546,850,307.38
  5. Step 5: Solve for x
    x = 546,850,307.38/37,439.58
  6. Step 6: Final answer
    x = 14,606.21

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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.