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Finding the Fourth Proportional to 49,749.95, 74,613.42 and 14,210.52

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Solution

The fourth proportional to 49,749.95, 74,613.42 and 14,210.52 is: 21,312.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,749.95 : 74,613.42 = 14,210.52 : x
  2. Step 2: Convert to fraction form
    49,749.95/74,613.42 = 14,210.52/x
  3. Step 3: Cross multiply
    49,749.95x = 74,613.42 × 14,210.52
  4. Step 4: Simplify right side
    49,749.95x = 1,060,295,497.18
  5. Step 5: Solve for x
    x = 1,060,295,497.18/49,749.95
  6. Step 6: Final answer
    x = 21,312.50

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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.