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Finding the Fourth Proportional to 70,802.25, 97,709.71 and 38,972.49

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Solution

The fourth proportional to 70,802.25, 97,709.71 and 38,972.49 is: 53,783.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,802.25 : 97,709.71 = 38,972.49 : x
  2. Step 2: Convert to fraction form
    70,802.25/97,709.71 = 38,972.49/x
  3. Step 3: Cross multiply
    70,802.25x = 97,709.71 × 38,972.49
  4. Step 4: Simplify right side
    70,802.25x = 3,807,990,695.88
  5. Step 5: Solve for x
    x = 3,807,990,695.88/70,802.25
  6. Step 6: Final answer
    x = 53,783.47

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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.