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Finding the Fourth Proportional to 59,584.04, 89,376 and 15,210.80

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Solution

The fourth proportional to 59,584.04, 89,376 and 15,210.80 is: 22,816.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,584.04 : 89,376 = 15,210.80 : x
  2. Step 2: Convert to fraction form
    59,584.04/89,376 = 15,210.80/x
  3. Step 3: Cross multiply
    59,584.04x = 89,376 × 15,210.80
  4. Step 4: Simplify right side
    59,584.04x = 1,359,480,460.80
  5. Step 5: Solve for x
    x = 1,359,480,460.80/59,584.04
  6. Step 6: Final answer
    x = 22,816.18

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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.