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Finding the Fourth Proportional to 59,423.07, 82,000.64 and 32,565.63

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Solution

The fourth proportional to 59,423.07, 82,000.64 and 32,565.63 is: 44,938.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,423.07 : 82,000.64 = 32,565.63 : x
  2. Step 2: Convert to fraction form
    59,423.07/82,000.64 = 32,565.63/x
  3. Step 3: Cross multiply
    59,423.07x = 82,000.64 × 32,565.63
  4. Step 4: Simplify right side
    59,423.07x = 2,670,402,339.18
  5. Step 5: Solve for x
    x = 2,670,402,339.18/59,423.07
  6. Step 6: Final answer
    x = 44,938.81

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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.