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Finding the Fourth Proportional to 55,337.95, 83,007.21 and 13,784.95

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Solution

The fourth proportional to 55,337.95, 83,007.21 and 13,784.95 is: 20,677.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,337.95 : 83,007.21 = 13,784.95 : x
  2. Step 2: Convert to fraction form
    55,337.95/83,007.21 = 13,784.95/x
  3. Step 3: Cross multiply
    55,337.95x = 83,007.21 × 13,784.95
  4. Step 4: Simplify right side
    55,337.95x = 1,144,249,824.45
  5. Step 5: Solve for x
    x = 1,144,249,824.45/55,337.95
  6. Step 6: Final answer
    x = 20,677.49

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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.