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Finding the Fourth Proportional to 42,784.90, 64,090.95 and 24,295.30

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Solution

The fourth proportional to 42,784.90, 64,090.95 and 24,295.30 is: 36,393.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,784.90 : 64,090.95 = 24,295.30 : x
  2. Step 2: Convert to fraction form
    42,784.90/64,090.95 = 24,295.30/x
  3. Step 3: Cross multiply
    42,784.90x = 64,090.95 × 24,295.30
  4. Step 4: Simplify right side
    42,784.90x = 1,557,108,857.54
  5. Step 5: Solve for x
    x = 1,557,108,857.54/42,784.90
  6. Step 6: Final answer
    x = 36,393.89

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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.