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Finding the Fourth Proportional to 102,636.84, 153,971.64 and 43,473

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Solution

The fourth proportional to 102,636.84, 153,971.64 and 43,473 is: 65,216.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,636.84 : 153,971.64 = 43,473 : x
  2. Step 2: Convert to fraction form
    102,636.84/153,971.64 = 43,473/x
  3. Step 3: Cross multiply
    102,636.84x = 153,971.64 × 43,473
  4. Step 4: Simplify right side
    102,636.84x = 6,693,609,105.72
  5. Step 5: Solve for x
    x = 6,693,609,105.72/102,636.84
  6. Step 6: Final answer
    x = 65,216.44

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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.