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Finding the Fourth Proportional to 35,461.32, 53,088.94 and 20,625

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Solution

The fourth proportional to 35,461.32, 53,088.94 and 20,625 is: 30,877.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,461.32 : 53,088.94 = 20,625 : x
  2. Step 2: Convert to fraction form
    35,461.32/53,088.94 = 20,625/x
  3. Step 3: Cross multiply
    35,461.32x = 53,088.94 × 20,625
  4. Step 4: Simplify right side
    35,461.32x = 1,094,959,387.50
  5. Step 5: Solve for x
    x = 1,094,959,387.50/35,461.32
  6. Step 6: Final answer
    x = 30,877.57

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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.