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Finding the Fourth Proportional to 45,692, 68,548.08 and 19,419.20

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Solution

The fourth proportional to 45,692, 68,548.08 and 19,419.20 is: 29,133.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,692 : 68,548.08 = 19,419.20 : x
  2. Step 2: Convert to fraction form
    45,692/68,548.08 = 19,419.20/x
  3. Step 3: Cross multiply
    45,692x = 68,548.08 × 19,419.20
  4. Step 4: Simplify right side
    45,692x = 1,331,148,875.14
  5. Step 5: Solve for x
    x = 1,331,148,875.14/45,692
  6. Step 6: Final answer
    x = 29,133.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.