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Finding the Fourth Proportional to 107,711.40, 161,567.10 and 61,055.40

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Solution

The fourth proportional to 107,711.40, 161,567.10 and 61,055.40 is: 91,583.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,711.40 : 161,567.10 = 61,055.40 : x
  2. Step 2: Convert to fraction form
    107,711.40/161,567.10 = 61,055.40/x
  3. Step 3: Cross multiply
    107,711.40x = 161,567.10 × 61,055.40
  4. Step 4: Simplify right side
    107,711.40x = 9,864,543,917.34
  5. Step 5: Solve for x
    x = 9,864,543,917.34/107,711.40
  6. Step 6: Final answer
    x = 91,583.10

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Why These Related Problems?

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