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Finding the Fourth Proportional to 42,916.88, 64,375.36 and 24,410

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Solution

The fourth proportional to 42,916.88, 64,375.36 and 24,410 is: 36,615.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,916.88 : 64,375.36 = 24,410 : x
  2. Step 2: Convert to fraction form
    42,916.88/64,375.36 = 24,410/x
  3. Step 3: Cross multiply
    42,916.88x = 64,375.36 × 24,410
  4. Step 4: Simplify right side
    42,916.88x = 1,571,402,537.60
  5. Step 5: Solve for x
    x = 1,571,402,537.60/42,916.88
  6. Step 6: Final answer
    x = 36,615.02

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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.