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Finding the Fourth Proportional to 56,113.64, 77,402.34 and 33,437

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Solution

The fourth proportional to 56,113.64, 77,402.34 and 33,437 is: 46,122.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,113.64 : 77,402.34 = 33,437 : x
  2. Step 2: Convert to fraction form
    56,113.64/77,402.34 = 33,437/x
  3. Step 3: Cross multiply
    56,113.64x = 77,402.34 × 33,437
  4. Step 4: Simplify right side
    56,113.64x = 2,588,102,042.58
  5. Step 5: Solve for x
    x = 2,588,102,042.58/56,113.64
  6. Step 6: Final answer
    x = 46,122.51

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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.