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Finding the Fourth Proportional to 46,443.38, 64,108.53 and 27,580.50

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Solution

The fourth proportional to 46,443.38, 64,108.53 and 27,580.50 is: 38,070.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,443.38 : 64,108.53 = 27,580.50 : x
  2. Step 2: Convert to fraction form
    46,443.38/64,108.53 = 27,580.50/x
  3. Step 3: Cross multiply
    46,443.38x = 64,108.53 × 27,580.50
  4. Step 4: Simplify right side
    46,443.38x = 1,768,145,311.67
  5. Step 5: Solve for x
    x = 1,768,145,311.67/46,443.38
  6. Step 6: Final answer
    x = 38,070.99

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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.