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Finding the Fourth Proportional to 82,988.40, 114,513.18 and 47,177.64

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Solution

The fourth proportional to 82,988.40, 114,513.18 and 47,177.64 is: 65,099.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,988.40 : 114,513.18 = 47,177.64 : x
  2. Step 2: Convert to fraction form
    82,988.40/114,513.18 = 47,177.64/x
  3. Step 3: Cross multiply
    82,988.40x = 114,513.18 × 47,177.64
  4. Step 4: Simplify right side
    82,988.40x = 5,402,461,581.30
  5. Step 5: Solve for x
    x = 5,402,461,581.30/82,988.40
  6. Step 6: Final answer
    x = 65,099.00

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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.