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Finding the Fourth Proportional to 52,643.34, 78,986.88 and 23,045.94

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Solution

The fourth proportional to 52,643.34, 78,986.88 and 23,045.94 is: 34,578.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,643.34 : 78,986.88 = 23,045.94 : x
  2. Step 2: Convert to fraction form
    52,643.34/78,986.88 = 23,045.94/x
  3. Step 3: Cross multiply
    52,643.34x = 78,986.88 × 23,045.94
  4. Step 4: Simplify right side
    52,643.34x = 1,820,326,897.27
  5. Step 5: Solve for x
    x = 1,820,326,897.27/52,643.34
  6. Step 6: Final answer
    x = 34,578.48

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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.