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Finding the Fourth Proportional to 47,582.84, 65,659.25 and 26,360.03

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Solution

The fourth proportional to 47,582.84, 65,659.25 and 26,360.03 is: 36,374.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,582.84 : 65,659.25 = 26,360.03 : x
  2. Step 2: Convert to fraction form
    47,582.84/65,659.25 = 26,360.03/x
  3. Step 3: Cross multiply
    47,582.84x = 65,659.25 × 26,360.03
  4. Step 4: Simplify right side
    47,582.84x = 1,730,779,537.38
  5. Step 5: Solve for x
    x = 1,730,779,537.38/47,582.84
  6. Step 6: Final answer
    x = 36,374.03

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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.