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Finding the Fourth Proportional to 48,547.50, 72,829.10 and 14,356.74

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Solution

The fourth proportional to 48,547.50, 72,829.10 and 14,356.74 is: 21,537.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,547.50 : 72,829.10 = 14,356.74 : x
  2. Step 2: Convert to fraction form
    48,547.50/72,829.10 = 14,356.74/x
  3. Step 3: Cross multiply
    48,547.50x = 72,829.10 × 14,356.74
  4. Step 4: Simplify right side
    48,547.50x = 1,045,588,453.13
  5. Step 5: Solve for x
    x = 1,045,588,453.13/48,547.50
  6. Step 6: Final answer
    x = 21,537.43

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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.