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Finding the Fourth Proportional to 37,128, 55,700.76 and 12,504

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Solution

The fourth proportional to 37,128, 55,700.76 and 12,504 is: 18,758.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,128 : 55,700.76 = 12,504 : x
  2. Step 2: Convert to fraction form
    37,128/55,700.76 = 12,504/x
  3. Step 3: Cross multiply
    37,128x = 55,700.76 × 12,504
  4. Step 4: Simplify right side
    37,128x = 696,482,303.04
  5. Step 5: Solve for x
    x = 696,482,303.04/37,128
  6. Step 6: Final answer
    x = 18,758.95

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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.