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Finding the Fourth Proportional to 70,565.76, 97,364.16 and 40,752

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Solution

The fourth proportional to 70,565.76, 97,364.16 and 40,752 is: 56,228.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,565.76 : 97,364.16 = 40,752 : x
  2. Step 2: Convert to fraction form
    70,565.76/97,364.16 = 40,752/x
  3. Step 3: Cross multiply
    70,565.76x = 97,364.16 × 40,752
  4. Step 4: Simplify right side
    70,565.76x = 3,967,784,248.32
  5. Step 5: Solve for x
    x = 3,967,784,248.32/70,565.76
  6. Step 6: Final answer
    x = 56,228.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.