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Finding the Fourth Proportional to 35,563.84, 53,378.68 and 25,656.96

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Solution

The fourth proportional to 35,563.84, 53,378.68 and 25,656.96 is: 38,509.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,563.84 : 53,378.68 = 25,656.96 : x
  2. Step 2: Convert to fraction form
    35,563.84/53,378.68 = 25,656.96/x
  3. Step 3: Cross multiply
    35,563.84x = 53,378.68 × 25,656.96
  4. Step 4: Simplify right side
    35,563.84x = 1,369,534,657.61
  5. Step 5: Solve for x
    x = 1,369,534,657.61/35,563.84
  6. Step 6: Final answer
    x = 38,509.19

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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.