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Finding the Fourth Proportional to 52,046, 77,875.35 and 45,690.92

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Solution

The fourth proportional to 52,046, 77,875.35 and 45,690.92 is: 68,366.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,046 : 77,875.35 = 45,690.92 : x
  2. Step 2: Convert to fraction form
    52,046/77,875.35 = 45,690.92/x
  3. Step 3: Cross multiply
    52,046x = 77,875.35 × 45,690.92
  4. Step 4: Simplify right side
    52,046x = 3,558,196,386.82
  5. Step 5: Solve for x
    x = 3,558,196,386.82/52,046
  6. Step 6: Final answer
    x = 68,366.38

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Why These Related Problems?

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