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Finding the Fourth Proportional to 55,461.38, 76,538.59 and 30,312.50

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Solution

The fourth proportional to 55,461.38, 76,538.59 and 30,312.50 is: 41,832.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,461.38 : 76,538.59 = 30,312.50 : x
  2. Step 2: Convert to fraction form
    55,461.38/76,538.59 = 30,312.50/x
  3. Step 3: Cross multiply
    55,461.38x = 76,538.59 × 30,312.50
  4. Step 4: Simplify right side
    55,461.38x = 2,320,075,550.90
  5. Step 5: Solve for x
    x = 2,320,075,550.90/55,461.38
  6. Step 6: Final answer
    x = 41,832.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.