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Finding the Fourth Proportional to 35,635.17, 53,437.70 and 10,678.77

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Solution

The fourth proportional to 35,635.17, 53,437.70 and 10,678.77 is: 16,013.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,635.17 : 53,437.70 = 10,678.77 : x
  2. Step 2: Convert to fraction form
    35,635.17/53,437.70 = 10,678.77/x
  3. Step 3: Cross multiply
    35,635.17x = 53,437.70 × 10,678.77
  4. Step 4: Simplify right side
    35,635.17x = 570,648,854.24
  5. Step 5: Solve for x
    x = 570,648,854.24/35,635.17
  6. Step 6: Final answer
    x = 16,013.64

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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.