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Finding the Fourth Proportional to 37,656, 56,484.14 and 9,954

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Solution

The fourth proportional to 37,656, 56,484.14 and 9,954 is: 14,931.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,656 : 56,484.14 = 9,954 : x
  2. Step 2: Convert to fraction form
    37,656/56,484.14 = 9,954/x
  3. Step 3: Cross multiply
    37,656x = 56,484.14 × 9,954
  4. Step 4: Simplify right side
    37,656x = 562,243,079.79
  5. Step 5: Solve for x
    x = 562,243,079.79/37,656
  6. Step 6: Final answer
    x = 14,931.04

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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.