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Finding the Fourth Proportional to 46,178.07, 69,267.17 and 12,898.14

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Solution

The fourth proportional to 46,178.07, 69,267.17 and 12,898.14 is: 19,347.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,178.07 : 69,267.17 = 12,898.14 : x
  2. Step 2: Convert to fraction form
    46,178.07/69,267.17 = 12,898.14/x
  3. Step 3: Cross multiply
    46,178.07x = 69,267.17 × 12,898.14
  4. Step 4: Simplify right side
    46,178.07x = 893,417,656.06
  5. Step 5: Solve for x
    x = 893,417,656.06/46,178.07
  6. Step 6: Final answer
    x = 19,347.23

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