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Finding the Fourth Proportional to 82,312.85, 123,466.50 and 34,897.46

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Solution

The fourth proportional to 82,312.85, 123,466.50 and 34,897.46 is: 52,345.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,312.85 : 123,466.50 = 34,897.46 : x
  2. Step 2: Convert to fraction form
    82,312.85/123,466.50 = 34,897.46/x
  3. Step 3: Cross multiply
    82,312.85x = 123,466.50 × 34,897.46
  4. Step 4: Simplify right side
    82,312.85x = 4,308,666,627.76
  5. Step 5: Solve for x
    x = 4,308,666,627.76/82,312.85
  6. Step 6: Final answer
    x = 52,345.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.