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Finding the Fourth Proportional to 56,750.70, 78,313.42 and 32,534.30

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Solution

The fourth proportional to 56,750.70, 78,313.42 and 32,534.30 is: 44,895.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,750.70 : 78,313.42 = 32,534.30 : x
  2. Step 2: Convert to fraction form
    56,750.70/78,313.42 = 32,534.30/x
  3. Step 3: Cross multiply
    56,750.70x = 78,313.42 × 32,534.30
  4. Step 4: Simplify right side
    56,750.70x = 2,547,872,300.31
  5. Step 5: Solve for x
    x = 2,547,872,300.31/56,750.70
  6. Step 6: Final answer
    x = 44,895.87

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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.