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Finding the Fourth Proportional to 32,547, 48,820.51 and 7,923

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Solution

The fourth proportional to 32,547, 48,820.51 and 7,923 is: 11,884.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,547 : 48,820.51 = 7,923 : x
  2. Step 2: Convert to fraction form
    32,547/48,820.51 = 7,923/x
  3. Step 3: Cross multiply
    32,547x = 48,820.51 × 7,923
  4. Step 4: Simplify right side
    32,547x = 386,804,900.73
  5. Step 5: Solve for x
    x = 386,804,900.73/32,547
  6. Step 6: Final answer
    x = 11,884.50

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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.