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Finding the Fourth Proportional to 77,948.93, 107,544.03 and 47,702.72

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Solution

The fourth proportional to 77,948.93, 107,544.03 and 47,702.72 is: 65,814.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,948.93 : 107,544.03 = 47,702.72 : x
  2. Step 2: Convert to fraction form
    77,948.93/107,544.03 = 47,702.72/x
  3. Step 3: Cross multiply
    77,948.93x = 107,544.03 × 47,702.72
  4. Step 4: Simplify right side
    77,948.93x = 5,130,142,750.76
  5. Step 5: Solve for x
    x = 5,130,142,750.76/77,948.93
  6. Step 6: Final answer
    x = 65,814.15

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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.