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Finding the Fourth Proportional to 37,492.64, 56,238.98 and 9,790.64

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Solution

The fourth proportional to 37,492.64, 56,238.98 and 9,790.64 is: 14,685.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,492.64 : 56,238.98 = 9,790.64 : x
  2. Step 2: Convert to fraction form
    37,492.64/56,238.98 = 9,790.64/x
  3. Step 3: Cross multiply
    37,492.64x = 56,238.98 × 9,790.64
  4. Step 4: Simplify right side
    37,492.64x = 550,615,277.00
  5. Step 5: Solve for x
    x = 550,615,277.00/37,492.64
  6. Step 6: Final answer
    x = 14,685.96

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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.