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Finding the Fourth Proportional to 58,466.40, 87,829.20 and 56,104.80

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Solution

The fourth proportional to 58,466.40, 87,829.20 and 56,104.80 is: 84,281.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,466.40 : 87,829.20 = 56,104.80 : x
  2. Step 2: Convert to fraction form
    58,466.40/87,829.20 = 56,104.80/x
  3. Step 3: Cross multiply
    58,466.40x = 87,829.20 × 56,104.80
  4. Step 4: Simplify right side
    58,466.40x = 4,927,639,700.16
  5. Step 5: Solve for x
    x = 4,927,639,700.16/58,466.40
  6. Step 6: Final answer
    x = 84,281.57

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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.