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Finding the Fourth Proportional to 35,454.88, 53,191.56 and 13,270

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Solution

The fourth proportional to 35,454.88, 53,191.56 and 13,270 is: 19,908.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,454.88 : 53,191.56 = 13,270 : x
  2. Step 2: Convert to fraction form
    35,454.88/53,191.56 = 13,270/x
  3. Step 3: Cross multiply
    35,454.88x = 53,191.56 × 13,270
  4. Step 4: Simplify right side
    35,454.88x = 705,852,001.20
  5. Step 5: Solve for x
    x = 705,852,001.20/35,454.88
  6. Step 6: Final answer
    x = 19,908.46

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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.