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Finding the Fourth Proportional to 70,109.84, 96,753.86 and 38,281.16

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Solution

The fourth proportional to 70,109.84, 96,753.86 and 38,281.16 is: 52,829.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,109.84 : 96,753.86 = 38,281.16 : x
  2. Step 2: Convert to fraction form
    70,109.84/96,753.86 = 38,281.16/x
  3. Step 3: Cross multiply
    70,109.84x = 96,753.86 × 38,281.16
  4. Step 4: Simplify right side
    70,109.84x = 3,703,849,995.28
  5. Step 5: Solve for x
    x = 3,703,849,995.28/70,109.84
  6. Step 6: Final answer
    x = 52,829.25

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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.