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Finding the Fourth Proportional to 85,429.63, 117,948.32 and 76,461.58

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Solution

The fourth proportional to 85,429.63, 117,948.32 and 76,461.58 is: 105,566.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,429.63 : 117,948.32 = 76,461.58 : x
  2. Step 2: Convert to fraction form
    85,429.63/117,948.32 = 76,461.58/x
  3. Step 3: Cross multiply
    85,429.63x = 117,948.32 × 76,461.58
  4. Step 4: Simplify right side
    85,429.63x = 9,018,514,905.55
  5. Step 5: Solve for x
    x = 9,018,514,905.55/85,429.63
  6. Step 6: Final answer
    x = 105,566.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.