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Finding the Fourth Proportional to 76,754.91, 105,893.68 and 46,518.42

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Solution

The fourth proportional to 76,754.91, 105,893.68 and 46,518.42 is: 64,178.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,754.91 : 105,893.68 = 46,518.42 : x
  2. Step 2: Convert to fraction form
    76,754.91/105,893.68 = 46,518.42/x
  3. Step 3: Cross multiply
    76,754.91x = 105,893.68 × 46,518.42
  4. Step 4: Simplify right side
    76,754.91x = 4,926,006,681.59
  5. Step 5: Solve for x
    x = 4,926,006,681.59/76,754.91
  6. Step 6: Final answer
    x = 64,178.39

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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.