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Finding the Fourth Proportional to 76,476.93, 105,508.69 and 56,381.59

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Solution

The fourth proportional to 76,476.93, 105,508.69 and 56,381.59 is: 77,784.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,476.93 : 105,508.69 = 56,381.59 : x
  2. Step 2: Convert to fraction form
    76,476.93/105,508.69 = 56,381.59/x
  3. Step 3: Cross multiply
    76,476.93x = 105,508.69 × 56,381.59
  4. Step 4: Simplify right side
    76,476.93x = 5,948,747,701.02
  5. Step 5: Solve for x
    x = 5,948,747,701.02/76,476.93
  6. Step 6: Final answer
    x = 77,784.87

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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.