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Finding the Fourth Proportional to 83,001.86, 124,509.64 and 34,984.32

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Solution

The fourth proportional to 83,001.86, 124,509.64 and 34,984.32 is: 52,479.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,001.86 : 124,509.64 = 34,984.32 : x
  2. Step 2: Convert to fraction form
    83,001.86/124,509.64 = 34,984.32/x
  3. Step 3: Cross multiply
    83,001.86x = 124,509.64 × 34,984.32
  4. Step 4: Simplify right side
    83,001.86x = 4,355,885,088.84
  5. Step 5: Solve for x
    x = 4,355,885,088.84/83,001.86
  6. Step 6: Final answer
    x = 52,479.37

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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.