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Finding the Fourth Proportional to 64,214.57, 96,294.76 and 19,242.31

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Solution

The fourth proportional to 64,214.57, 96,294.76 and 19,242.31 is: 28,855.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,214.57 : 96,294.76 = 19,242.31 : x
  2. Step 2: Convert to fraction form
    64,214.57/96,294.76 = 19,242.31/x
  3. Step 3: Cross multiply
    64,214.57x = 96,294.76 × 19,242.31
  4. Step 4: Simplify right side
    64,214.57x = 1,852,933,515.01
  5. Step 5: Solve for x
    x = 1,852,933,515.01/64,214.57
  6. Step 6: Final answer
    x = 28,855.34

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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.