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Finding the Fourth Proportional to 56,493.84, 84,740.76 and 19,047

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Solution

The fourth proportional to 56,493.84, 84,740.76 and 19,047 is: 28,570.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,493.84 : 84,740.76 = 19,047 : x
  2. Step 2: Convert to fraction form
    56,493.84/84,740.76 = 19,047/x
  3. Step 3: Cross multiply
    56,493.84x = 84,740.76 × 19,047
  4. Step 4: Simplify right side
    56,493.84x = 1,614,057,255.72
  5. Step 5: Solve for x
    x = 1,614,057,255.72/56,493.84
  6. Step 6: Final answer
    x = 28,570.50

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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.