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Finding the Fourth Proportional to 76,339.32, 105,323.05 and 46,113.16

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Solution

The fourth proportional to 76,339.32, 105,323.05 and 46,113.16 is: 63,620.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,339.32 : 105,323.05 = 46,113.16 : x
  2. Step 2: Convert to fraction form
    76,339.32/105,323.05 = 46,113.16/x
  3. Step 3: Cross multiply
    76,339.32x = 105,323.05 × 46,113.16
  4. Step 4: Simplify right side
    76,339.32x = 4,856,778,277.75
  5. Step 5: Solve for x
    x = 4,856,778,277.75/76,339.32
  6. Step 6: Final answer
    x = 63,620.93

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