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Finding the Fourth Proportional to 55,913, 77,159.94 and 30,762.50

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Solution

The fourth proportional to 55,913, 77,159.94 and 30,762.50 is: 42,452.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,913 : 77,159.94 = 30,762.50 : x
  2. Step 2: Convert to fraction form
    55,913/77,159.94 = 30,762.50/x
  3. Step 3: Cross multiply
    55,913x = 77,159.94 × 30,762.50
  4. Step 4: Simplify right side
    55,913x = 2,373,632,654.25
  5. Step 5: Solve for x
    x = 2,373,632,654.25/55,913
  6. Step 6: Final answer
    x = 42,452.25

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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.