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Finding the Fourth Proportional to 48,476.88, 72,716.54 and 13,416.84

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Solution

The fourth proportional to 48,476.88, 72,716.54 and 13,416.84 is: 20,125.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,476.88 : 72,716.54 = 13,416.84 : x
  2. Step 2: Convert to fraction form
    48,476.88/72,716.54 = 13,416.84/x
  3. Step 3: Cross multiply
    48,476.88x = 72,716.54 × 13,416.84
  4. Step 4: Simplify right side
    48,476.88x = 975,626,115.45
  5. Step 5: Solve for x
    x = 975,626,115.45/48,476.88
  6. Step 6: Final answer
    x = 20,125.60

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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.