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Finding the Fourth Proportional to 48,274.59, 72,416.90 and 13,214.25

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Solution

The fourth proportional to 48,274.59, 72,416.90 and 13,214.25 is: 19,822.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,274.59 : 72,416.90 = 13,214.25 : x
  2. Step 2: Convert to fraction form
    48,274.59/72,416.90 = 13,214.25/x
  3. Step 3: Cross multiply
    48,274.59x = 72,416.90 × 13,214.25
  4. Step 4: Simplify right side
    48,274.59x = 956,935,053.86
  5. Step 5: Solve for x
    x = 956,935,053.86/48,274.59
  6. Step 6: Final answer
    x = 19,822.75

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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.