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Finding the Fourth Proportional to 35,484.84, 53,232.12 and 12,105

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Solution

The fourth proportional to 35,484.84, 53,232.12 and 12,105 is: 18,159.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,484.84 : 53,232.12 = 12,105 : x
  2. Step 2: Convert to fraction form
    35,484.84/53,232.12 = 12,105/x
  3. Step 3: Cross multiply
    35,484.84x = 53,232.12 × 12,105
  4. Step 4: Simplify right side
    35,484.84x = 644,374,812.60
  5. Step 5: Solve for x
    x = 644,374,812.60/35,484.84
  6. Step 6: Final answer
    x = 18,159.16

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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.