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Finding the Fourth Proportional to 64,657.90, 89,240.15 and 40,470.08

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Solution

The fourth proportional to 64,657.90, 89,240.15 and 40,470.08 is: 55,856.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,657.90 : 89,240.15 = 40,470.08 : x
  2. Step 2: Convert to fraction form
    64,657.90/89,240.15 = 40,470.08/x
  3. Step 3: Cross multiply
    64,657.90x = 89,240.15 × 40,470.08
  4. Step 4: Simplify right side
    64,657.90x = 3,611,556,009.71
  5. Step 5: Solve for x
    x = 3,611,556,009.71/64,657.90
  6. Step 6: Final answer
    x = 55,856.38

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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.