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Finding the Fourth Proportional to 35,456.16, 53,165.41 and 10,492.77

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Solution

The fourth proportional to 35,456.16, 53,165.41 and 10,492.77 is: 15,733.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,456.16 : 53,165.41 = 10,492.77 : x
  2. Step 2: Convert to fraction form
    35,456.16/53,165.41 = 10,492.77/x
  3. Step 3: Cross multiply
    35,456.16x = 53,165.41 × 10,492.77
  4. Step 4: Simplify right side
    35,456.16x = 557,852,419.09
  5. Step 5: Solve for x
    x = 557,852,419.09/35,456.16
  6. Step 6: Final answer
    x = 15,733.58

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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.