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Finding the Fourth Proportional to 56,507.49, 84,762.86 and 31,533.57

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Solution

The fourth proportional to 56,507.49, 84,762.86 and 31,533.57 is: 47,301.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,507.49 : 84,762.86 = 31,533.57 : x
  2. Step 2: Convert to fraction form
    56,507.49/84,762.86 = 31,533.57/x
  3. Step 3: Cross multiply
    56,507.49x = 84,762.86 × 31,533.57
  4. Step 4: Simplify right side
    56,507.49x = 2,672,875,421.54
  5. Step 5: Solve for x
    x = 2,672,875,421.54/56,507.49
  6. Step 6: Final answer
    x = 47,301.26

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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.