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Finding the Fourth Proportional to 82,646.99, 114,055.25 and 46,835.81

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Solution

The fourth proportional to 82,646.99, 114,055.25 and 46,835.81 is: 64,634.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,646.99 : 114,055.25 = 46,835.81 : x
  2. Step 2: Convert to fraction form
    82,646.99/114,055.25 = 46,835.81/x
  3. Step 3: Cross multiply
    82,646.99x = 114,055.25 × 46,835.81
  4. Step 4: Simplify right side
    82,646.99x = 5,341,869,214.05
  5. Step 5: Solve for x
    x = 5,341,869,214.05/82,646.99
  6. Step 6: Final answer
    x = 64,634.77

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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.