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Finding the Fourth Proportional to 84,106.68, 116,065.08 and 46,378.50

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Solution

The fourth proportional to 84,106.68, 116,065.08 and 46,378.50 is: 64,001.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,106.68 : 116,065.08 = 46,378.50 : x
  2. Step 2: Convert to fraction form
    84,106.68/116,065.08 = 46,378.50/x
  3. Step 3: Cross multiply
    84,106.68x = 116,065.08 × 46,378.50
  4. Step 4: Simplify right side
    84,106.68x = 5,382,924,312.78
  5. Step 5: Solve for x
    x = 5,382,924,312.78/84,106.68
  6. Step 6: Final answer
    x = 64,001.15

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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.