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Finding the Fourth Proportional to 35,755.17, 53,628.12 and 9,461.94

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Solution

The fourth proportional to 35,755.17, 53,628.12 and 9,461.94 is: 14,191.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,755.17 : 53,628.12 = 9,461.94 : x
  2. Step 2: Convert to fraction form
    35,755.17/53,628.12 = 9,461.94/x
  3. Step 3: Cross multiply
    35,755.17x = 53,628.12 × 9,461.94
  4. Step 4: Simplify right side
    35,755.17x = 507,426,053.75
  5. Step 5: Solve for x
    x = 507,426,053.75/35,755.17
  6. Step 6: Final answer
    x = 14,191.68

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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.