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Finding the Fourth Proportional to 71,184, 98,235.63 and 46,077.24

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Solution

The fourth proportional to 71,184, 98,235.63 and 46,077.24 is: 63,587.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,184 : 98,235.63 = 46,077.24 : x
  2. Step 2: Convert to fraction form
    71,184/98,235.63 = 46,077.24/x
  3. Step 3: Cross multiply
    71,184x = 98,235.63 × 46,077.24
  4. Step 4: Simplify right side
    71,184x = 4,526,426,700.06
  5. Step 5: Solve for x
    x = 4,526,426,700.06/71,184
  6. Step 6: Final answer
    x = 63,587.70

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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.