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Finding the Fourth Proportional to 78,223.19, 107,946.27 and 42,412.28

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Solution

The fourth proportional to 78,223.19, 107,946.27 and 42,412.28 is: 58,528.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,223.19 : 107,946.27 = 42,412.28 : x
  2. Step 2: Convert to fraction form
    78,223.19/107,946.27 = 42,412.28/x
  3. Step 3: Cross multiply
    78,223.19x = 107,946.27 × 42,412.28
  4. Step 4: Simplify right side
    78,223.19x = 4,578,246,888.46
  5. Step 5: Solve for x
    x = 4,578,246,888.46/78,223.19
  6. Step 6: Final answer
    x = 58,528.00

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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.