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Finding the Fourth Proportional to 83,029.69, 114,582.30 and 45,303.94

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Solution

The fourth proportional to 83,029.69, 114,582.30 and 45,303.94 is: 62,520.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,029.69 : 114,582.30 = 45,303.94 : x
  2. Step 2: Convert to fraction form
    83,029.69/114,582.30 = 45,303.94/x
  3. Step 3: Cross multiply
    83,029.69x = 114,582.30 × 45,303.94
  4. Step 4: Simplify right side
    83,029.69x = 5,191,029,617.60
  5. Step 5: Solve for x
    x = 5,191,029,617.60/83,029.69
  6. Step 6: Final answer
    x = 62,520.16

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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.