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Finding the Fourth Proportional to 105,422.94, 145,479.51 and 57,675.06

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Solution

The fourth proportional to 105,422.94, 145,479.51 and 57,675.06 is: 79,589.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,422.94 : 145,479.51 = 57,675.06 : x
  2. Step 2: Convert to fraction form
    105,422.94/145,479.51 = 57,675.06/x
  3. Step 3: Cross multiply
    105,422.94x = 145,479.51 × 57,675.06
  4. Step 4: Simplify right side
    105,422.94x = 8,390,539,468.02
  5. Step 5: Solve for x
    x = 8,390,539,468.02/105,422.94
  6. Step 6: Final answer
    x = 79,589.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.