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Finding the Fourth Proportional to 65,009.52, 89,719.76 and 46,875.16

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Solution

The fourth proportional to 65,009.52, 89,719.76 and 46,875.16 is: 64,692.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,009.52 : 89,719.76 = 46,875.16 : x
  2. Step 2: Convert to fraction form
    65,009.52/89,719.76 = 46,875.16/x
  3. Step 3: Cross multiply
    65,009.52x = 89,719.76 × 46,875.16
  4. Step 4: Simplify right side
    65,009.52x = 4,205,628,105.16
  5. Step 5: Solve for x
    x = 4,205,628,105.16/65,009.52
  6. Step 6: Final answer
    x = 64,692.50

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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.