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Finding the Fourth Proportional to 46,526.16, 64,199.88 and 27,656.40

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Solution

The fourth proportional to 46,526.16, 64,199.88 and 27,656.40 is: 38,162.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,526.16 : 64,199.88 = 27,656.40 : x
  2. Step 2: Convert to fraction form
    46,526.16/64,199.88 = 27,656.40/x
  3. Step 3: Cross multiply
    46,526.16x = 64,199.88 × 27,656.40
  4. Step 4: Simplify right side
    46,526.16x = 1,775,537,561.23
  5. Step 5: Solve for x
    x = 1,775,537,561.23/46,526.16
  6. Step 6: Final answer
    x = 38,162.13

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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.