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Finding the Fourth Proportional to 35,788.66, 53,685.69 and 9,492.64

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Solution

The fourth proportional to 35,788.66, 53,685.69 and 9,492.64 is: 14,239.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,788.66 : 53,685.69 = 9,492.64 : x
  2. Step 2: Convert to fraction form
    35,788.66/53,685.69 = 9,492.64/x
  3. Step 3: Cross multiply
    35,788.66x = 53,685.69 × 9,492.64
  4. Step 4: Simplify right side
    35,788.66x = 509,618,928.32
  5. Step 5: Solve for x
    x = 509,618,928.32/35,788.66
  6. Step 6: Final answer
    x = 14,239.68

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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.