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Finding the Fourth Proportional to 32,048.32, 48,078.02 and 14,285.30

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Solution

The fourth proportional to 32,048.32, 48,078.02 and 14,285.30 is: 21,430.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,048.32 : 48,078.02 = 14,285.30 : x
  2. Step 2: Convert to fraction form
    32,048.32/48,078.02 = 14,285.30/x
  3. Step 3: Cross multiply
    32,048.32x = 48,078.02 × 14,285.30
  4. Step 4: Simplify right side
    32,048.32x = 686,808,939.11
  5. Step 5: Solve for x
    x = 686,808,939.11/32,048.32
  6. Step 6: Final answer
    x = 21,430.42

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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.