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Finding the Fourth Proportional to 32,547.50, 48,821.26 and 7,923.50

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Solution

The fourth proportional to 32,547.50, 48,821.26 and 7,923.50 is: 11,885.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,547.50 : 48,821.26 = 7,923.50 : x
  2. Step 2: Convert to fraction form
    32,547.50/48,821.26 = 7,923.50/x
  3. Step 3: Cross multiply
    32,547.50x = 48,821.26 × 7,923.50
  4. Step 4: Simplify right side
    32,547.50x = 386,835,253.61
  5. Step 5: Solve for x
    x = 386,835,253.61/32,547.50
  6. Step 6: Final answer
    x = 11,885.25

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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.