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Finding the Fourth Proportional to 64,997.50, 97,483.92 and 31,684.06

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Solution

The fourth proportional to 64,997.50, 97,483.92 and 31,684.06 is: 47,520.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,997.50 : 97,483.92 = 31,684.06 : x
  2. Step 2: Convert to fraction form
    64,997.50/97,483.92 = 31,684.06/x
  3. Step 3: Cross multiply
    64,997.50x = 97,483.92 × 31,684.06
  4. Step 4: Simplify right side
    64,997.50x = 3,088,686,370.32
  5. Step 5: Solve for x
    x = 3,088,686,370.32/64,997.50
  6. Step 6: Final answer
    x = 47,520.08

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1.5x scale

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.