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Finding the Fourth Proportional to 77,905.19, 107,509.23 and 42,095.19

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Solution

The fourth proportional to 77,905.19, 107,509.23 and 42,095.19 is: 58,091.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,905.19 : 107,509.23 = 42,095.19 : x
  2. Step 2: Convert to fraction form
    77,905.19/107,509.23 = 42,095.19/x
  3. Step 3: Cross multiply
    77,905.19x = 107,509.23 × 42,095.19
  4. Step 4: Simplify right side
    77,905.19x = 4,525,621,253.13
  5. Step 5: Solve for x
    x = 4,525,621,253.13/77,905.19
  6. Step 6: Final answer
    x = 58,091.40

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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.