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Finding the Fourth Proportional to 73,964, 110,946 and 24,716

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Solution

The fourth proportional to 73,964, 110,946 and 24,716 is: 37,074

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,964 : 110,946 = 24,716 : x
  2. Step 2: Convert to fraction form
    73,964/110,946 = 24,716/x
  3. Step 3: Cross multiply
    73,964x = 110,946 × 24,716
  4. Step 4: Simplify right side
    73,964x = 2,742,141,336
  5. Step 5: Solve for x
    x = 2,742,141,336/73,964
  6. Step 6: Final answer
    x = 37,074

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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.