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Finding the Fourth Proportional to 77,386.40, 115,982.40 and 37,858.40

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Solution

The fourth proportional to 77,386.40, 115,982.40 and 37,858.40 is: 56,740.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,386.40 : 115,982.40 = 37,858.40 : x
  2. Step 2: Convert to fraction form
    77,386.40/115,982.40 = 37,858.40/x
  3. Step 3: Cross multiply
    77,386.40x = 115,982.40 × 37,858.40
  4. Step 4: Simplify right side
    77,386.40x = 4,390,908,092.16
  5. Step 5: Solve for x
    x = 4,390,908,092.16/77,386.40
  6. Step 6: Final answer
    x = 56,740.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.