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Finding the Fourth Proportional to 82,835.64, 124,066.53 and 38,368.98

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Solution

The fourth proportional to 82,835.64, 124,066.53 and 38,368.98 is: 57,466.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,835.64 : 124,066.53 = 38,368.98 : x
  2. Step 2: Convert to fraction form
    82,835.64/124,066.53 = 38,368.98/x
  3. Step 3: Cross multiply
    82,835.64x = 124,066.53 × 38,368.98
  4. Step 4: Simplify right side
    82,835.64x = 4,760,306,208.24
  5. Step 5: Solve for x
    x = 4,760,306,208.24/82,835.64
  6. Step 6: Final answer
    x = 57,466.89

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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.