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Finding the Fourth Proportional to 64,810, 89,437.80 and 35,002

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Solution

The fourth proportional to 64,810, 89,437.80 and 35,002 is: 48,302.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,810 : 89,437.80 = 35,002 : x
  2. Step 2: Convert to fraction form
    64,810/89,437.80 = 35,002/x
  3. Step 3: Cross multiply
    64,810x = 89,437.80 × 35,002
  4. Step 4: Simplify right side
    64,810x = 3,130,501,875.60
  5. Step 5: Solve for x
    x = 3,130,501,875.60/64,810
  6. Step 6: Final answer
    x = 48,302.76

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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.