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Finding the Fourth Proportional to 35,384.12, 48,829 and 19,468.16

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Solution

The fourth proportional to 35,384.12, 48,829 and 19,468.16 is: 26,865.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,384.12 : 48,829 = 19,468.16 : x
  2. Step 2: Convert to fraction form
    35,384.12/48,829 = 19,468.16/x
  3. Step 3: Cross multiply
    35,384.12x = 48,829 × 19,468.16
  4. Step 4: Simplify right side
    35,384.12x = 950,610,784.64
  5. Step 5: Solve for x
    x = 950,610,784.64/35,384.12
  6. Step 6: Final answer
    x = 26,865.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.