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Finding the Fourth Proportional to 32,700.70, 49,071.30 and 12,977.20

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Solution

The fourth proportional to 32,700.70, 49,071.30 and 12,977.20 is: 19,473.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,700.70 : 49,071.30 = 12,977.20 : x
  2. Step 2: Convert to fraction form
    32,700.70/49,071.30 = 12,977.20/x
  3. Step 3: Cross multiply
    32,700.70x = 49,071.30 × 12,977.20
  4. Step 4: Simplify right side
    32,700.70x = 636,808,074.36
  5. Step 5: Solve for x
    x = 636,808,074.36/32,700.70
  6. Step 6: Final answer
    x = 19,473.84

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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.