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Finding the Fourth Proportional to 82,208.99, 113,448.80 and 46,400.51

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Solution

The fourth proportional to 82,208.99, 113,448.80 and 46,400.51 is: 64,032.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,208.99 : 113,448.80 = 46,400.51 : x
  2. Step 2: Convert to fraction form
    82,208.99/113,448.80 = 46,400.51/x
  3. Step 3: Cross multiply
    82,208.99x = 113,448.80 × 46,400.51
  4. Step 4: Simplify right side
    82,208.99x = 5,264,081,946.89
  5. Step 5: Solve for x
    x = 5,264,081,946.89/82,208.99
  6. Step 6: Final answer
    x = 64,032.92

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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.