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Finding the Fourth Proportional to 46,656.68, 64,386.42 and 29,899.40

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Solution

The fourth proportional to 46,656.68, 64,386.42 and 29,899.40 is: 41,261.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,656.68 : 64,386.42 = 29,899.40 : x
  2. Step 2: Convert to fraction form
    46,656.68/64,386.42 = 29,899.40/x
  3. Step 3: Cross multiply
    46,656.68x = 64,386.42 × 29,899.40
  4. Step 4: Simplify right side
    46,656.68x = 1,925,115,326.15
  5. Step 5: Solve for x
    x = 1,925,115,326.15/46,656.68
  6. Step 6: Final answer
    x = 41,261.30

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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.