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Finding the Fourth Proportional to 52,088.59, 78,133.02 and 12,645.64

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Solution

The fourth proportional to 52,088.59, 78,133.02 and 12,645.64 is: 18,968.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,088.59 : 78,133.02 = 12,645.64 : x
  2. Step 2: Convert to fraction form
    52,088.59/78,133.02 = 12,645.64/x
  3. Step 3: Cross multiply
    52,088.59x = 78,133.02 × 12,645.64
  4. Step 4: Simplify right side
    52,088.59x = 988,042,043.03
  5. Step 5: Solve for x
    x = 988,042,043.03/52,088.59
  6. Step 6: Final answer
    x = 18,968.49

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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.