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Finding the Fourth Proportional to 83,210.36, 114,829.80 and 45,484.88

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Solution

The fourth proportional to 83,210.36, 114,829.80 and 45,484.88 is: 62,768.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,210.36 : 114,829.80 = 45,484.88 : x
  2. Step 2: Convert to fraction form
    83,210.36/114,829.80 = 45,484.88/x
  3. Step 3: Cross multiply
    83,210.36x = 114,829.80 × 45,484.88
  4. Step 4: Simplify right side
    83,210.36x = 5,223,019,673.42
  5. Step 5: Solve for x
    x = 5,223,019,673.42/83,210.36
  6. Step 6: Final answer
    x = 62,768.86

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