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Finding the Fourth Proportional to 35,526.60, 49,027.68 and 21,384

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Solution

The fourth proportional to 35,526.60, 49,027.68 and 21,384 is: 29,510.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,526.60 : 49,027.68 = 21,384 : x
  2. Step 2: Convert to fraction form
    35,526.60/49,027.68 = 21,384/x
  3. Step 3: Cross multiply
    35,526.60x = 49,027.68 × 21,384
  4. Step 4: Simplify right side
    35,526.60x = 1,048,407,909.12
  5. Step 5: Solve for x
    x = 1,048,407,909.12/35,526.60
  6. Step 6: Final answer
    x = 29,510.51

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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.