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Finding the Fourth Proportional to 64,854, 89,498.52 and 35,046

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Solution

The fourth proportional to 64,854, 89,498.52 and 35,046 is: 48,363.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,854 : 89,498.52 = 35,046 : x
  2. Step 2: Convert to fraction form
    64,854/89,498.52 = 35,046/x
  3. Step 3: Cross multiply
    64,854x = 89,498.52 × 35,046
  4. Step 4: Simplify right side
    64,854x = 3,136,565,131.92
  5. Step 5: Solve for x
    x = 3,136,565,131.92/64,854
  6. Step 6: Final answer
    x = 48,363.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.