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Finding the Fourth Proportional to 47,707.50, 71,561.25 and 14,875.50

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Solution

The fourth proportional to 47,707.50, 71,561.25 and 14,875.50 is: 22,313.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,707.50 : 71,561.25 = 14,875.50 : x
  2. Step 2: Convert to fraction form
    47,707.50/71,561.25 = 14,875.50/x
  3. Step 3: Cross multiply
    47,707.50x = 71,561.25 × 14,875.50
  4. Step 4: Simplify right side
    47,707.50x = 1,064,509,374.38
  5. Step 5: Solve for x
    x = 1,064,509,374.38/47,707.50
  6. Step 6: Final answer
    x = 22,313.25

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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.