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Finding the Fourth Proportional to 47,292.48, 70,948.80 and 16,148.16

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Solution

The fourth proportional to 47,292.48, 70,948.80 and 16,148.16 is: 24,225.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,292.48 : 70,948.80 = 16,148.16 : x
  2. Step 2: Convert to fraction form
    47,292.48/70,948.80 = 16,148.16/x
  3. Step 3: Cross multiply
    47,292.48x = 70,948.80 × 16,148.16
  4. Step 4: Simplify right side
    47,292.48x = 1,145,692,574.21
  5. Step 5: Solve for x
    x = 1,145,692,574.21/47,292.48
  6. Step 6: Final answer
    x = 24,225.68

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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.