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Finding the Fourth Proportional to 55,547.48, 83,304.07 and 16,107.50

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Solution

The fourth proportional to 55,547.48, 83,304.07 and 16,107.50 is: 24,156.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,547.48 : 83,304.07 = 16,107.50 : x
  2. Step 2: Convert to fraction form
    55,547.48/83,304.07 = 16,107.50/x
  3. Step 3: Cross multiply
    55,547.48x = 83,304.07 × 16,107.50
  4. Step 4: Simplify right side
    55,547.48x = 1,341,820,307.53
  5. Step 5: Solve for x
    x = 1,341,820,307.53/55,547.48
  6. Step 6: Final answer
    x = 24,156.28

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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.