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Finding the Fourth Proportional to 49,594.80, 74,368.74 and 19,214.16

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Solution

The fourth proportional to 49,594.80, 74,368.74 and 19,214.16 is: 28,812.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,594.80 : 74,368.74 = 19,214.16 : x
  2. Step 2: Convert to fraction form
    49,594.80/74,368.74 = 19,214.16/x
  3. Step 3: Cross multiply
    49,594.80x = 74,368.74 × 19,214.16
  4. Step 4: Simplify right side
    49,594.80x = 1,428,933,026.81
  5. Step 5: Solve for x
    x = 1,428,933,026.81/49,594.80
  6. Step 6: Final answer
    x = 28,812.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.