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Finding the Fourth Proportional to 47,308, 65,285.48 and 26,088

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Solution

The fourth proportional to 47,308, 65,285.48 and 26,088 is: 36,001.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,308 : 65,285.48 = 26,088 : x
  2. Step 2: Convert to fraction form
    47,308/65,285.48 = 26,088/x
  3. Step 3: Cross multiply
    47,308x = 65,285.48 × 26,088
  4. Step 4: Simplify right side
    47,308x = 1,703,167,602.24
  5. Step 5: Solve for x
    x = 1,703,167,602.24/47,308
  6. Step 6: Final answer
    x = 36,001.68

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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.