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Finding the Fourth Proportional to 84,040, 115,977.60 and 46,316.68

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Solution

The fourth proportional to 84,040, 115,977.60 and 46,316.68 is: 63,918.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,040 : 115,977.60 = 46,316.68 : x
  2. Step 2: Convert to fraction form
    84,040/115,977.60 = 46,316.68/x
  3. Step 3: Cross multiply
    84,040x = 115,977.60 × 46,316.68
  4. Step 4: Simplify right side
    84,040x = 5,371,697,386.37
  5. Step 5: Solve for x
    x = 5,371,697,386.37/84,040
  6. Step 6: Final answer
    x = 63,918.34

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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.