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Finding the Fourth Proportional to 35,812.96, 49,421.88 and 19,898.86

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Solution

The fourth proportional to 35,812.96, 49,421.88 and 19,898.86 is: 27,460.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,812.96 : 49,421.88 = 19,898.86 : x
  2. Step 2: Convert to fraction form
    35,812.96/49,421.88 = 19,898.86/x
  3. Step 3: Cross multiply
    35,812.96x = 49,421.88 × 19,898.86
  4. Step 4: Simplify right side
    35,812.96x = 983,439,071.06
  5. Step 5: Solve for x
    x = 983,439,071.06/35,812.96
  6. Step 6: Final answer
    x = 27,460.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.