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Finding the Fourth Proportional to 30,744.32, 46,117.56 and 9,968

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Solution

The fourth proportional to 30,744.32, 46,117.56 and 9,968 is: 14,952.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,744.32 : 46,117.56 = 9,968 : x
  2. Step 2: Convert to fraction form
    30,744.32/46,117.56 = 9,968/x
  3. Step 3: Cross multiply
    30,744.32x = 46,117.56 × 9,968
  4. Step 4: Simplify right side
    30,744.32x = 459,699,838.08
  5. Step 5: Solve for x
    x = 459,699,838.08/30,744.32
  6. Step 6: Final answer
    x = 14,952.35

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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.