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Finding the Fourth Proportional to 32,428.40, 48,606.60 and 12,700.40

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Solution

The fourth proportional to 32,428.40, 48,606.60 and 12,700.40 is: 19,036.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,428.40 : 48,606.60 = 12,700.40 : x
  2. Step 2: Convert to fraction form
    32,428.40/48,606.60 = 12,700.40/x
  3. Step 3: Cross multiply
    32,428.40x = 48,606.60 × 12,700.40
  4. Step 4: Simplify right side
    32,428.40x = 617,323,262.64
  5. Step 5: Solve for x
    x = 617,323,262.64/32,428.40
  6. Step 6: Final answer
    x = 19,036.50

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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.