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Finding the Fourth Proportional to 76,308.36, 105,303.56 and 42,316.30

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Solution

The fourth proportional to 76,308.36, 105,303.56 and 42,316.30 is: 58,395.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,308.36 : 105,303.56 = 42,316.30 : x
  2. Step 2: Convert to fraction form
    76,308.36/105,303.56 = 42,316.30/x
  3. Step 3: Cross multiply
    76,308.36x = 105,303.56 × 42,316.30
  4. Step 4: Simplify right side
    76,308.36x = 4,456,057,036.03
  5. Step 5: Solve for x
    x = 4,456,057,036.03/76,308.36
  6. Step 6: Final answer
    x = 58,395.40

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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.