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Finding the Fourth Proportional to 46,603.57, 64,319.27 and 27,488.74

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Solution

The fourth proportional to 46,603.57, 64,319.27 and 27,488.74 is: 37,938.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,603.57 : 64,319.27 = 27,488.74 : x
  2. Step 2: Convert to fraction form
    46,603.57/64,319.27 = 27,488.74/x
  3. Step 3: Cross multiply
    46,603.57x = 64,319.27 × 27,488.74
  4. Step 4: Simplify right side
    46,603.57x = 1,768,055,690.02
  5. Step 5: Solve for x
    x = 1,768,055,690.02/46,603.57
  6. Step 6: Final answer
    x = 37,938.20

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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.