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Finding the Fourth Proportional to 46,442.80, 64,088.04 and 29,674

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Solution

The fourth proportional to 46,442.80, 64,088.04 and 29,674 is: 40,948.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,442.80 : 64,088.04 = 29,674 : x
  2. Step 2: Convert to fraction form
    46,442.80/64,088.04 = 29,674/x
  3. Step 3: Cross multiply
    46,442.80x = 64,088.04 × 29,674
  4. Step 4: Simplify right side
    46,442.80x = 1,901,748,498.96
  5. Step 5: Solve for x
    x = 1,901,748,498.96/46,442.80
  6. Step 6: Final answer
    x = 40,948.19

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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.