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Finding the Fourth Proportional to 76,415.36, 105,451.48 and 42,421.84

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Solution

The fourth proportional to 76,415.36, 105,451.48 and 42,421.84 is: 58,541.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,415.36 : 105,451.48 = 42,421.84 : x
  2. Step 2: Convert to fraction form
    76,415.36/105,451.48 = 42,421.84/x
  3. Step 3: Cross multiply
    76,415.36x = 105,451.48 × 42,421.84
  4. Step 4: Simplify right side
    76,415.36x = 4,473,445,812.32
  5. Step 5: Solve for x
    x = 4,473,445,812.32/76,415.36
  6. Step 6: Final answer
    x = 58,541.19

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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.