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Finding the Fourth Proportional to 82,903.80, 124,282.80 and 49,637.10

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Solution

The fourth proportional to 82,903.80, 124,282.80 and 49,637.10 is: 74,412.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,903.80 : 124,282.80 = 49,637.10 : x
  2. Step 2: Convert to fraction form
    82,903.80/124,282.80 = 49,637.10/x
  3. Step 3: Cross multiply
    82,903.80x = 124,282.80 × 49,637.10
  4. Step 4: Simplify right side
    82,903.80x = 6,169,037,771.88
  5. Step 5: Solve for x
    x = 6,169,037,771.88/82,903.80
  6. Step 6: Final answer
    x = 74,412.00

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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.