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Finding the Fourth Proportional to 35,783.58, 53,685 and 12,410.04

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Solution

The fourth proportional to 35,783.58, 53,685 and 12,410.04 is: 18,618.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,783.58 : 53,685 = 12,410.04 : x
  2. Step 2: Convert to fraction form
    35,783.58/53,685 = 12,410.04/x
  3. Step 3: Cross multiply
    35,783.58x = 53,685 × 12,410.04
  4. Step 4: Simplify right side
    35,783.58x = 666,232,997.40
  5. Step 5: Solve for x
    x = 666,232,997.40/35,783.58
  6. Step 6: Final answer
    x = 18,618.40

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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.