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Finding the Fourth Proportional to 42,352.88, 63,530.64 and 15,705.50

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Solution

The fourth proportional to 42,352.88, 63,530.64 and 15,705.50 is: 23,558.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,352.88 : 63,530.64 = 15,705.50 : x
  2. Step 2: Convert to fraction form
    42,352.88/63,530.64 = 15,705.50/x
  3. Step 3: Cross multiply
    42,352.88x = 63,530.64 × 15,705.50
  4. Step 4: Simplify right side
    42,352.88x = 997,780,466.52
  5. Step 5: Solve for x
    x = 997,780,466.52/42,352.88
  6. Step 6: Final answer
    x = 23,558.74

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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.