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Finding the Fourth Proportional to 42,415.80, 63,615.60 and 12,834.60

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Solution

The fourth proportional to 42,415.80, 63,615.60 and 12,834.60 is: 19,249.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,415.80 : 63,615.60 = 12,834.60 : x
  2. Step 2: Convert to fraction form
    42,415.80/63,615.60 = 12,834.60/x
  3. Step 3: Cross multiply
    42,415.80x = 63,615.60 × 12,834.60
  4. Step 4: Simplify right side
    42,415.80x = 816,480,779.76
  5. Step 5: Solve for x
    x = 816,480,779.76/42,415.80
  6. Step 6: Final answer
    x = 19,249.45

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1.5x scale

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.