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Finding the Fourth Proportional to 55,499, 83,248.50 and 16,587

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Solution

The fourth proportional to 55,499, 83,248.50 and 16,587 is: 24,880.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,499 : 83,248.50 = 16,587 : x
  2. Step 2: Convert to fraction form
    55,499/83,248.50 = 16,587/x
  3. Step 3: Cross multiply
    55,499x = 83,248.50 × 16,587
  4. Step 4: Simplify right side
    55,499x = 1,380,842,869.50
  5. Step 5: Solve for x
    x = 1,380,842,869.50/55,499
  6. Step 6: Final answer
    x = 24,880.50

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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.