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Finding the Fourth Proportional to 46,410.38, 64,062.95 and 27,547.50

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Solution

The fourth proportional to 46,410.38, 64,062.95 and 27,547.50 is: 38,025.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,410.38 : 64,062.95 = 27,547.50 : x
  2. Step 2: Convert to fraction form
    46,410.38/64,062.95 = 27,547.50/x
  3. Step 3: Cross multiply
    46,410.38x = 64,062.95 × 27,547.50
  4. Step 4: Simplify right side
    46,410.38x = 1,764,773,977.39
  5. Step 5: Solve for x
    x = 1,764,773,977.39/46,410.38
  6. Step 6: Final answer
    x = 38,025.42

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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.