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Finding the Fourth Proportional to 52,425.36, 78,534 and 24,742.80

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Solution

The fourth proportional to 52,425.36, 78,534 and 24,742.80 is: 37,065.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,425.36 : 78,534 = 24,742.80 : x
  2. Step 2: Convert to fraction form
    52,425.36/78,534 = 24,742.80/x
  3. Step 3: Cross multiply
    52,425.36x = 78,534 × 24,742.80
  4. Step 4: Simplify right side
    52,425.36x = 1,943,151,055.20
  5. Step 5: Solve for x
    x = 1,943,151,055.20/52,425.36
  6. Step 6: Final answer
    x = 37,065.10

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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.