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Finding the Fourth Proportional to 76,814.52, 105,992.71 and 44,547.76

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Solution

The fourth proportional to 76,814.52, 105,992.71 and 44,547.76 is: 61,469.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,814.52 : 105,992.71 = 44,547.76 : x
  2. Step 2: Convert to fraction form
    76,814.52/105,992.71 = 44,547.76/x
  3. Step 3: Cross multiply
    76,814.52x = 105,992.71 × 44,547.76
  4. Step 4: Simplify right side
    76,814.52x = 4,721,737,806.83
  5. Step 5: Solve for x
    x = 4,721,737,806.83/76,814.52
  6. Step 6: Final answer
    x = 61,469.34

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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.