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Finding the Fourth Proportional to 47,859.96, 71,800.16 and 14,582.68

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Solution

The fourth proportional to 47,859.96, 71,800.16 and 14,582.68 is: 21,877.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,859.96 : 71,800.16 = 14,582.68 : x
  2. Step 2: Convert to fraction form
    47,859.96/71,800.16 = 14,582.68/x
  3. Step 3: Cross multiply
    47,859.96x = 71,800.16 × 14,582.68
  4. Step 4: Simplify right side
    47,859.96x = 1,047,038,614.19
  5. Step 5: Solve for x
    x = 1,047,038,614.19/47,859.96
  6. Step 6: Final answer
    x = 21,877.13

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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.