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Finding the Fourth Proportional to 84,547.77, 116,675.94 and 46,309.71

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Solution

The fourth proportional to 84,547.77, 116,675.94 and 46,309.71 is: 63,907.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,547.77 : 116,675.94 = 46,309.71 : x
  2. Step 2: Convert to fraction form
    84,547.77/116,675.94 = 46,309.71/x
  3. Step 3: Cross multiply
    84,547.77x = 116,675.94 × 46,309.71
  4. Step 4: Simplify right side
    84,547.77x = 5,403,228,945.38
  5. Step 5: Solve for x
    x = 5,403,228,945.38/84,547.77
  6. Step 6: Final answer
    x = 63,907.41

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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.