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Finding the Fourth Proportional to 32,547.30, 48,828.46 and 13,827.94

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Solution

The fourth proportional to 32,547.30, 48,828.46 and 13,827.94 is: 20,745.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,547.30 : 48,828.46 = 13,827.94 : x
  2. Step 2: Convert to fraction form
    32,547.30/48,828.46 = 13,827.94/x
  3. Step 3: Cross multiply
    32,547.30x = 48,828.46 × 13,827.94
  4. Step 4: Simplify right side
    32,547.30x = 675,197,015.17
  5. Step 5: Solve for x
    x = 675,197,015.17/32,547.30
  6. Step 6: Final answer
    x = 20,745.10

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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.