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Finding the Fourth Proportional to 70,657.10, 97,506.78 and 38,828.06

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Solution

The fourth proportional to 70,657.10, 97,506.78 and 38,828.06 is: 53,582.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,657.10 : 97,506.78 = 38,828.06 : x
  2. Step 2: Convert to fraction form
    70,657.10/97,506.78 = 38,828.06/x
  3. Step 3: Cross multiply
    70,657.10x = 97,506.78 × 38,828.06
  4. Step 4: Simplify right side
    70,657.10x = 3,785,999,104.25
  5. Step 5: Solve for x
    x = 3,785,999,104.25/70,657.10
  6. Step 6: Final answer
    x = 53,582.71

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1.5x scale

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.