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Finding the Fourth Proportional to 35,346.88, 53,000.29 and 11,648.08

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Solution

The fourth proportional to 35,346.88, 53,000.29 and 11,648.08 is: 17,465.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,346.88 : 53,000.29 = 11,648.08 : x
  2. Step 2: Convert to fraction form
    35,346.88/53,000.29 = 11,648.08/x
  3. Step 3: Cross multiply
    35,346.88x = 53,000.29 × 11,648.08
  4. Step 4: Simplify right side
    35,346.88x = 617,351,617.94
  5. Step 5: Solve for x
    x = 617,351,617.94/35,346.88
  6. Step 6: Final answer
    x = 17,465.52

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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.