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Finding the Fourth Proportional to 56,306.40, 77,701.86 and 32,433

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Solution

The fourth proportional to 56,306.40, 77,701.86 and 32,433 is: 44,756.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,306.40 : 77,701.86 = 32,433 : x
  2. Step 2: Convert to fraction form
    56,306.40/77,701.86 = 32,433/x
  3. Step 3: Cross multiply
    56,306.40x = 77,701.86 × 32,433
  4. Step 4: Simplify right side
    56,306.40x = 2,520,104,425.38
  5. Step 5: Solve for x
    x = 2,520,104,425.38/56,306.40
  6. Step 6: Final answer
    x = 44,756.98

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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.