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Finding the Fourth Proportional to 52,547.40, 78,776.70 and 24,452.94

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Solution

The fourth proportional to 52,547.40, 78,776.70 and 24,452.94 is: 36,658.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,547.40 : 78,776.70 = 24,452.94 : x
  2. Step 2: Convert to fraction form
    52,547.40/78,776.70 = 24,452.94/x
  3. Step 3: Cross multiply
    52,547.40x = 78,776.70 × 24,452.94
  4. Step 4: Simplify right side
    52,547.40x = 1,926,321,918.50
  5. Step 5: Solve for x
    x = 1,926,321,918.50/52,547.40
  6. Step 6: Final answer
    x = 36,658.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.