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Finding the Fourth Proportional to 70,784.96, 97,681.44 and 38,518.22

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Solution

The fourth proportional to 70,784.96, 97,681.44 and 38,518.22 is: 53,154.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,784.96 : 97,681.44 = 38,518.22 : x
  2. Step 2: Convert to fraction form
    70,784.96/97,681.44 = 38,518.22/x
  3. Step 3: Cross multiply
    70,784.96x = 97,681.44 × 38,518.22
  4. Step 4: Simplify right side
    70,784.96x = 3,762,515,195.84
  5. Step 5: Solve for x
    x = 3,762,515,195.84/70,784.96
  6. Step 6: Final answer
    x = 53,154.16

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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.