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Finding the Fourth Proportional to 46,100.64, 63,494.64 and 39,802.08

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Solution

The fourth proportional to 46,100.64, 63,494.64 and 39,802.08 is: 54,819.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,100.64 : 63,494.64 = 39,802.08 : x
  2. Step 2: Convert to fraction form
    46,100.64/63,494.64 = 39,802.08/x
  3. Step 3: Cross multiply
    46,100.64x = 63,494.64 × 39,802.08
  4. Step 4: Simplify right side
    46,100.64x = 2,527,218,740.85
  5. Step 5: Solve for x
    x = 2,527,218,740.85/46,100.64
  6. Step 6: Final answer
    x = 54,819.60

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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.