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Finding the Fourth Proportional to 42,345.86, 63,432.65 and 33,980.58

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Solution

The fourth proportional to 42,345.86, 63,432.65 and 33,980.58 is: 50,901.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,345.86 : 63,432.65 = 33,980.58 : x
  2. Step 2: Convert to fraction form
    42,345.86/63,432.65 = 33,980.58/x
  3. Step 3: Cross multiply
    42,345.86x = 63,432.65 × 33,980.58
  4. Step 4: Simplify right side
    42,345.86x = 2,155,478,322.89
  5. Step 5: Solve for x
    x = 2,155,478,322.89/42,345.86
  6. Step 6: Final answer
    x = 50,901.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.