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Finding the Fourth Proportional to 70,142.98, 96,795.96 and 38,312.14

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Solution

The fourth proportional to 70,142.98, 96,795.96 and 38,312.14 is: 52,870.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,142.98 : 96,795.96 = 38,312.14 : x
  2. Step 2: Convert to fraction form
    70,142.98/96,795.96 = 38,312.14/x
  3. Step 3: Cross multiply
    70,142.98x = 96,795.96 × 38,312.14
  4. Step 4: Simplify right side
    70,142.98x = 3,708,460,370.95
  5. Step 5: Solve for x
    x = 3,708,460,370.95/70,142.98
  6. Step 6: Final answer
    x = 52,870.01

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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.