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Finding the Fourth Proportional to 47,301.66, 65,269.18 and 27,159.40

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Solution

The fourth proportional to 47,301.66, 65,269.18 and 27,159.40 is: 37,475.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,301.66 : 65,269.18 = 27,159.40 : x
  2. Step 2: Convert to fraction form
    47,301.66/65,269.18 = 27,159.40/x
  3. Step 3: Cross multiply
    47,301.66x = 65,269.18 × 27,159.40
  4. Step 4: Simplify right side
    47,301.66x = 1,772,671,767.29
  5. Step 5: Solve for x
    x = 1,772,671,767.29/47,301.66
  6. Step 6: Final answer
    x = 37,475.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.