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Finding the Fourth Proportional to 64,838.80, 97,258.24 and 20,470.08

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Solution

The fourth proportional to 64,838.80, 97,258.24 and 20,470.08 is: 30,705.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,838.80 : 97,258.24 = 20,470.08 : x
  2. Step 2: Convert to fraction form
    64,838.80/97,258.24 = 20,470.08/x
  3. Step 3: Cross multiply
    64,838.80x = 97,258.24 × 20,470.08
  4. Step 4: Simplify right side
    64,838.80x = 1,990,883,953.46
  5. Step 5: Solve for x
    x = 1,990,883,953.46/64,838.80
  6. Step 6: Final answer
    x = 30,705.13

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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.