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Finding the Fourth Proportional to 82,957.48, 114,480.74 and 45,233.32

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Solution

The fourth proportional to 82,957.48, 114,480.74 and 45,233.32 is: 62,421.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,957.48 : 114,480.74 = 45,233.32 : x
  2. Step 2: Convert to fraction form
    82,957.48/114,480.74 = 45,233.32/x
  3. Step 3: Cross multiply
    82,957.48x = 114,480.74 × 45,233.32
  4. Step 4: Simplify right side
    82,957.48x = 5,178,343,946.26
  5. Step 5: Solve for x
    x = 5,178,343,946.26/82,957.48
  6. Step 6: Final answer
    x = 62,421.66

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1.5x scale

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.