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Finding the Fourth Proportional to 52,312, 78,502.56 and 24,612.16

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Solution

The fourth proportional to 52,312, 78,502.56 and 24,612.16 is: 36,934.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,312 : 78,502.56 = 24,612.16 : x
  2. Step 2: Convert to fraction form
    52,312/78,502.56 = 24,612.16/x
  3. Step 3: Cross multiply
    52,312x = 78,502.56 × 24,612.16
  4. Step 4: Simplify right side
    52,312x = 1,932,117,567.13
  5. Step 5: Solve for x
    x = 1,932,117,567.13/52,312
  6. Step 6: Final answer
    x = 36,934.50

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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.