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Finding the Fourth Proportional to 39,633, 59,407.60 and 14,657.02

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Solution

The fourth proportional to 39,633, 59,407.60 and 14,657.02 is: 21,970.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,633 : 59,407.60 = 14,657.02 : x
  2. Step 2: Convert to fraction form
    39,633/59,407.60 = 14,657.02/x
  3. Step 3: Cross multiply
    39,633x = 59,407.60 × 14,657.02
  4. Step 4: Simplify right side
    39,633x = 870,738,381.35
  5. Step 5: Solve for x
    x = 870,738,381.35/39,633
  6. Step 6: Final answer
    x = 21,970.03

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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.