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Finding the Fourth Proportional to 32,547.43, 48,820.78 and 7,923.43

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Solution

The fourth proportional to 32,547.43, 48,820.78 and 7,923.43 is: 11,885.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,547.43 : 48,820.78 = 7,923.43 : x
  2. Step 2: Convert to fraction form
    32,547.43/48,820.78 = 7,923.43/x
  3. Step 3: Cross multiply
    32,547.43x = 48,820.78 × 7,923.43
  4. Step 4: Simplify right side
    32,547.43x = 386,828,032.88
  5. Step 5: Solve for x
    x = 386,828,032.88/32,547.43
  6. Step 6: Final answer
    x = 11,885.06

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1.5x scale

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.