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Finding the Fourth Proportional to 75,683.65, 104,435.59 and 46,607.40

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Solution

The fourth proportional to 75,683.65, 104,435.59 and 46,607.40 is: 64,313.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,683.65 : 104,435.59 = 46,607.40 : x
  2. Step 2: Convert to fraction form
    75,683.65/104,435.59 = 46,607.40/x
  3. Step 3: Cross multiply
    75,683.65x = 104,435.59 × 46,607.40
  4. Step 4: Simplify right side
    75,683.65x = 4,867,470,809.21
  5. Step 5: Solve for x
    x = 4,867,470,809.21/75,683.65
  6. Step 6: Final answer
    x = 64,313.38

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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.