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Finding the Fourth Proportional to 82,968.88, 114,492.92 and 47,154.16

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Solution

The fourth proportional to 82,968.88, 114,492.92 and 47,154.16 is: 65,070.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,968.88 : 114,492.92 = 47,154.16 : x
  2. Step 2: Convert to fraction form
    82,968.88/114,492.92 = 47,154.16/x
  3. Step 3: Cross multiply
    82,968.88x = 114,492.92 × 47,154.16
  4. Step 4: Simplify right side
    82,968.88x = 5,398,817,468.55
  5. Step 5: Solve for x
    x = 5,398,817,468.55/82,968.88
  6. Step 6: Final answer
    x = 65,070.39

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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.