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Finding the Fourth Proportional to 32,048.66, 48,073 and 15,398.30

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Solution

The fourth proportional to 32,048.66, 48,073 and 15,398.30 is: 23,097.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,048.66 : 48,073 = 15,398.30 : x
  2. Step 2: Convert to fraction form
    32,048.66/48,073 = 15,398.30/x
  3. Step 3: Cross multiply
    32,048.66x = 48,073 × 15,398.30
  4. Step 4: Simplify right side
    32,048.66x = 740,242,475.90
  5. Step 5: Solve for x
    x = 740,242,475.90/32,048.66
  6. Step 6: Final answer
    x = 23,097.45

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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.