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Finding the Fourth Proportional to 31,037.39, 46,560.46 and 9,970.37

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Solution

The fourth proportional to 31,037.39, 46,560.46 and 9,970.37 is: 14,956.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,037.39 : 46,560.46 = 9,970.37 : x
  2. Step 2: Convert to fraction form
    31,037.39/46,560.46 = 9,970.37/x
  3. Step 3: Cross multiply
    31,037.39x = 46,560.46 × 9,970.37
  4. Step 4: Simplify right side
    31,037.39x = 464,224,780.77
  5. Step 5: Solve for x
    x = 464,224,780.77/31,037.39
  6. Step 6: Final answer
    x = 14,956.95

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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.