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Finding the Fourth Proportional to 64,750.86, 97,100.76 and 31,461.07

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Solution

The fourth proportional to 64,750.86, 97,100.76 and 31,461.07 is: 47,179.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,750.86 : 97,100.76 = 31,461.07 : x
  2. Step 2: Convert to fraction form
    64,750.86/97,100.76 = 31,461.07/x
  3. Step 3: Cross multiply
    64,750.86x = 97,100.76 × 31,461.07
  4. Step 4: Simplify right side
    64,750.86x = 3,054,894,050.17
  5. Step 5: Solve for x
    x = 3,054,894,050.17/64,750.86
  6. Step 6: Final answer
    x = 47,179.21

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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.