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Finding the Fourth Proportional to 54,969, 82,447.56 and 37,312.80

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Solution

The fourth proportional to 54,969, 82,447.56 and 37,312.80 is: 55,965.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,969 : 82,447.56 = 37,312.80 : x
  2. Step 2: Convert to fraction form
    54,969/82,447.56 = 37,312.80/x
  3. Step 3: Cross multiply
    54,969x = 82,447.56 × 37,312.80
  4. Step 4: Simplify right side
    54,969x = 3,076,349,316.77
  5. Step 5: Solve for x
    x = 3,076,349,316.77/54,969
  6. Step 6: Final answer
    x = 55,965.17

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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.