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Finding the Fourth Proportional to 30,767.37, 46,154.49 and 9,710.40

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Solution

The fourth proportional to 30,767.37, 46,154.49 and 9,710.40 is: 14,566.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,767.37 : 46,154.49 = 9,710.40 : x
  2. Step 2: Convert to fraction form
    30,767.37/46,154.49 = 9,710.40/x
  3. Step 3: Cross multiply
    30,767.37x = 46,154.49 × 9,710.40
  4. Step 4: Simplify right side
    30,767.37x = 448,178,559.70
  5. Step 5: Solve for x
    x = 448,178,559.70/30,767.37
  6. Step 6: Final answer
    x = 14,566.68

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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.