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Finding the Fourth Proportional to 84,465.12, 116,555.76 and 46,740

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Solution

The fourth proportional to 84,465.12, 116,555.76 and 46,740 is: 64,497.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,465.12 : 116,555.76 = 46,740 : x
  2. Step 2: Convert to fraction form
    84,465.12/116,555.76 = 46,740/x
  3. Step 3: Cross multiply
    84,465.12x = 116,555.76 × 46,740
  4. Step 4: Simplify right side
    84,465.12x = 5,447,816,222.40
  5. Step 5: Solve for x
    x = 5,447,816,222.40/84,465.12
  6. Step 6: Final answer
    x = 64,497.82

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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.