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Finding the Fourth Proportional to 37,437.16, 56,155.74 and 9,733

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Solution

The fourth proportional to 37,437.16, 56,155.74 and 9,733 is: 14,599.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,437.16 : 56,155.74 = 9,733 : x
  2. Step 2: Convert to fraction form
    37,437.16/56,155.74 = 9,733/x
  3. Step 3: Cross multiply
    37,437.16x = 56,155.74 × 9,733
  4. Step 4: Simplify right side
    37,437.16x = 546,563,817.42
  5. Step 5: Solve for x
    x = 546,563,817.42/37,437.16
  6. Step 6: Final answer
    x = 14,599.50

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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.