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Finding the Fourth Proportional to 32,547.93, 48,821.54 and 7,923.93

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Solution

The fourth proportional to 32,547.93, 48,821.54 and 7,923.93 is: 11,885.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,547.93 : 48,821.54 = 7,923.93 : x
  2. Step 2: Convert to fraction form
    32,547.93/48,821.54 = 7,923.93/x
  3. Step 3: Cross multiply
    32,547.93x = 48,821.54 × 7,923.93
  4. Step 4: Simplify right side
    32,547.93x = 386,858,425.83
  5. Step 5: Solve for x
    x = 386,858,425.83/32,547.93
  6. Step 6: Final answer
    x = 11,885.81

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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.