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Finding the Fourth Proportional to 84,432, 116,506.08 and 46,701.12

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Solution

The fourth proportional to 84,432, 116,506.08 and 46,701.12 is: 64,441.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,432 : 116,506.08 = 46,701.12 : x
  2. Step 2: Convert to fraction form
    84,432/116,506.08 = 46,701.12/x
  3. Step 3: Cross multiply
    84,432x = 116,506.08 × 46,701.12
  4. Step 4: Simplify right side
    84,432x = 5,440,964,422.81
  5. Step 5: Solve for x
    x = 5,440,964,422.81/84,432
  6. Step 6: Final answer
    x = 64,441.97

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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.