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Finding the Fourth Proportional to 46,778, 64,605.96 and 36,294.80

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Solution

The fourth proportional to 46,778, 64,605.96 and 36,294.80 is: 50,127.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,778 : 64,605.96 = 36,294.80 : x
  2. Step 2: Convert to fraction form
    46,778/64,605.96 = 36,294.80/x
  3. Step 3: Cross multiply
    46,778x = 64,605.96 × 36,294.80
  4. Step 4: Simplify right side
    46,778x = 2,344,860,397.01
  5. Step 5: Solve for x
    x = 2,344,860,397.01/46,778
  6. Step 6: Final answer
    x = 50,127.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.